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Paper Citation Record · LEDGER

Isogeny graphs of elliptic curves in characteristic zero

As of 23 August 2026, this Paper Citation Record lists 95 of 95 outbound references and 0 inbound Pith citation observations for arXiv:2608.02494.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.02494 v1

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measured 95 of 95 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T06:19:02.268265Z

measured 95 of 95 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

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95 of 95 outbound references displayed

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Outbound references

Observation 6e61efdc-6a8b-4f0a-a79b-afe81160b1bf · outbound

This paper cites Springer-Verlag, Berlin, 2001.

Isogeny graphs of elliptic curves in characteristic zero Springer-Verlag, Berlin, 2001

Reference 1

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source=pdf_text observed=2026-08-04T06:18:51.789815Z digest=sha256:319fa685edc7eb7b93175980f18d3239c64ca0c8dea07817baec28df459378df

Observation 14e50aa6-5ec4-45fc-9c50-0da6308069f9 · outbound

This paper cites Explicit connections between supersingular isogeny graphs and Bruhat-Tits trees.

Isogeny graphs of elliptic curves in characteristic zero Explicit connections between supersingular isogeny graphs and Bruhat-Tits trees

Reference 2

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Observation f1dbb23b-5338-4902-a580-1533b6326207 · outbound

This paper cites Black box Galois representations.J.

Isogeny graphs of elliptic curves in characteristic zero Black box Galois representations.J

Reference 3

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 4

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Observation 2ae10e1e-7b58-463a-877f-ebd0d14d6e36 · outbound

This paper cites Banwait and Maarten Derickx.

Isogeny graphs of elliptic curves in characteristic zero Banwait and Maarten Derickx

Reference 5

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Observation bf868e70-12fb-47eb-a38c-ffc1871fcdd9 · outbound

This paper cites Banwait, Filip Najman, and Oana Padurariu.

Isogeny graphs of elliptic curves in characteristic zero Banwait, Filip Najman, and Oana Padurariu

Reference 6

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Observation 36782186-9f51-4a4b-9c5b-c2bb84301240 · outbound

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 7

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Observation 06017dcb-cd4e-43bf-a610-cd2ccbab7dc5 · outbound

This paper cites Barrios, Maila Brucal-Hallare, Alyson Deines, Piper Harris, and Manami Roy.

Isogeny graphs of elliptic curves in characteristic zero Barrios, Maila Brucal-Hallare, Alyson Deines, Piper Harris, and Manami Roy

Reference 8

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Observation 0b1447a7-a3ca-45d3-bcfb-51c5c4747df3 · outbound

This paper cites Barrios, Enrique Gonz´ alez-Jim´ enez, and Ivan Novak.

Isogeny graphs of elliptic curves in characteristic zero Barrios, Enrique Gonz´ alez-Jim´ enez, and Ivan Novak

Reference 9

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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Observation bcc782e0-321b-47ce-9af5-ecdf5f76a9f7 · outbound

This paper cites The Magma algebra system.

Isogeny graphs of elliptic curves in characteristic zero The Magma algebra system

Reference 11

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 12

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Observation f615de36-5523-4f85-b09e-ed59f1da9d6b · outbound

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 13

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Observation fefb9da6-56bf-4bab-9e78-c7f4b2b457b5 · outbound

This paper cites Clark, and James Stankewicz.

Isogeny graphs of elliptic curves in characteristic zero Clark, and James Stankewicz

Reference 14

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Observation 7d4473e5-b5ef-4a22-9af9-78d742e64b26 · outbound

This paper cites Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves.

Isogeny graphs of elliptic curves in characteristic zero Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves

Reference 15

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Observation 2978e73e-8f50-4658-b785-0a99959c5387 · outbound

This paper cites Bruhat and J.

Isogeny graphs of elliptic curves in characteristic zero Bruhat and J

Reference 16

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Observation d1ab1517-9cf5-4edd-8ba0-30ab538ec61d · outbound

This paper cites Fields of definition of elliptic curves with prescribed torsion.Acta Arith., 181(1):85–95, 2017.

Isogeny graphs of elliptic curves in characteristic zero Fields of definition of elliptic curves with prescribed torsion.Acta Arith., 181(1):85–95, 2017

Reference 17

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Observation a8294bac-36b1-4468-b776-46700203f03d · outbound

This paper cites Essays in harmonic analysis on p-adic SL(2).

Isogeny graphs of elliptic curves in characteristic zero Essays in harmonic analysis on p-adic SL(2)

Reference 18

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Observation db44b2da-fc9e-4152-b307-69daa852d3bd · outbound

This paper cites A classification of isogeny-torsion graphs ofQ-isogeny classes of elliptic curves.Trans.

Isogeny graphs of elliptic curves in characteristic zero A classification of isogeny-torsion graphs ofQ-isogeny classes of elliptic curves.Trans

Reference 19

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Observation dcb72ab3-0618-47d5-8680-3c3740574fcf · outbound

This paper cites CM Elliptic Curves: Volcanoes, Reality and Applications.

Isogeny graphs of elliptic curves in characteristic zero CM Elliptic Curves: Volcanoes, Reality and Applications

Reference 20

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Observation 04f61ce5-5b62-49b9-81db-ac4f7b2b514e · outbound

This paper cites CM Elliptic Curves: Volcanoes, Reality and Applications, Part II.

Isogeny graphs of elliptic curves in characteristic zero CM Elliptic Curves: Volcanoes, Reality and Applications, Part II

Reference 21

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Observation 341629dc-7e0e-46e6-bd96-cfe030990e41 · outbound

This paper cites Cox.Primes of the formx 2 +ny 2.

Isogeny graphs of elliptic curves in characteristic zero Cox.Primes of the formx 2 +ny 2

Reference 22

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Observation df9603f1-4ed3-4916-9d3e-14a840294560 · outbound

This paper cites Universit´ e Louis Pasteur.

Isogeny graphs of elliptic curves in characteristic zero Universit´ e Louis Pasteur

Reference 23

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Observation 8435b6e4-37ec-4f03-8b03-1fdbae2a8e8a · outbound

This paper cites Exploring isogeny graphs.Habilitation ´ a diriger des recherches.

Isogeny graphs of elliptic curves in characteristic zero Exploring isogeny graphs.Habilitation ´ a diriger des recherches

Reference 24

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Observation e51291b7-ec54-4963-9a74-475474d38090 · outbound

This paper cites Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies.J.

Isogeny graphs of elliptic curves in characteristic zero Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies.J

Reference 25

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Observation d8bd0d9d-9119-4b5e-ab26-847f1cda5650 · outbound

This paper cites Galbraith.

Isogeny graphs of elliptic curves in characteristic zero Galbraith

Reference 26

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Observation a081e2a9-269e-4caa-9b73-8872549c8492 · outbound

This paper cites Deligne and M.

Isogeny graphs of elliptic curves in characteristic zero Deligne and M

Reference 27

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Observation fc493f8a-0cd9-419c-8ae5-d64a73161090 · outbound

This paper cites Deligne and M.

Isogeny graphs of elliptic curves in characteristic zero Deligne and M

Reference 28

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Observation 5ab465eb-8306-4764-9124-c66d6ba8d13d · outbound

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Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 29

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Observation 579a4acc-e888-482c-a568-9499c930dc0c · outbound

This paper cites Faltings.

Isogeny graphs of elliptic curves in characteristic zero Faltings

Reference 30

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Observation d096f7ec-74f5-4b60-877c-8112239ee244 · outbound

This paper cites Isogeny volcanoes and the SEA algorithm.

Isogeny graphs of elliptic curves in characteristic zero Isogeny volcanoes and the SEA algorithm

Reference 31

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Observation 4e0dfef6-f9d8-4209-997c-a301cac32060 · outbound

This paper cites Zweiter Teil.

Isogeny graphs of elliptic curves in characteristic zero Zweiter Teil

Reference 32

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source=pdf_text observed=2026-08-04T06:18:55.051606Z digest=sha256:cca13732c2d67eb35b7294002c43b73ac19c68ec9f9c526287faaeeca2a341fc

Observation bfb26918-0cf2-4490-86e0-e8d1849d656e · outbound

This paper cites Serre’s uniformity question and proper subgroups ofC + ns(p).arXiv e-prints, page arXiv:2305.17780, May 2023.

Isogeny graphs of elliptic curves in characteristic zero Serre’s uniformity question and proper subgroups ofC + ns(p).arXiv e-prints, page arXiv:2305.17780, May 2023

Reference 33

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Observation 215f78d4-bf04-4784-a39c-11e9c6fc5a64 · outbound

This paper cites Galbraith.Mathematics of public key cryptography.

Isogeny graphs of elliptic curves in characteristic zero Galbraith.Mathematics of public key cryptography

Reference 34

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Observation 597b0d51-2add-4d48-89c3-7f76d7c46f88 · outbound

This paper cites Galbraith and Frederik Vercauteren.

Isogeny graphs of elliptic curves in characteristic zero Galbraith and Frederik Vercauteren

Reference 35

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Observation 7286a5e1-9ba0-46a7-bb39-12e6db75fcac · outbound

This paper cites Springer-Verlag, New York, 2001.

Isogeny graphs of elliptic curves in characteristic zero Springer-Verlag, New York, 2001

Reference 36

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Observation 880e49fc-dbce-4dba-9fe1-8b6f8cf496e7 · outbound

This paper cites Growth of torsion groups of elliptic curves upon base change.

Isogeny graphs of elliptic curves in characteristic zero Growth of torsion groups of elliptic curves upon base change

Reference 37

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Observation d68c0621-5fa9-4990-86da-acabcc423eb5 · outbound

This paper cites An algorithm for determining torsion growth of elliptic curves.

Isogeny graphs of elliptic curves in characteristic zero An algorithm for determining torsion growth of elliptic curves

Reference 38

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source=pdf_text observed=2026-08-04T06:18:55.556260Z digest=sha256:c5b15e8370f41f04a72b6b7733defb04dd6285c63b62d5399deaceb57aa61f5e

Observation d0dfc9a1-43d4-4a51-9ead-f77e0df0d18a · outbound

This paper cites Elliptic curves with surjective adelic Galois representations.Exp.

Isogeny graphs of elliptic curves in characteristic zero Elliptic curves with surjective adelic Galois representations.Exp

Reference 39

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Observation 6ddd96e4-3f29-4888-bc65-2f7d14792531 · outbound

This paper cites Discrete Mathematics and its Applications (Boca Raton).

Isogeny graphs of elliptic curves in characteristic zero Discrete Mathematics and its Applications (Boca Raton)

Reference 40

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Observation 265b59c2-40db-4a44-b8c9-7016d46ea93a · outbound

This paper cites ¨ uber das schwache Kartesische Produkt von Graphen.J.

Isogeny graphs of elliptic curves in characteristic zero ¨ uber das schwache Kartesische Produkt von Graphen.J

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Observation 28cc86e4-6e20-47e6-9433-93f650daa0e3 · outbound

This paper cites Cartesian products of directed graphs with loops.Discrete Math., 341(5):1336–1343, 2018.

Isogeny graphs of elliptic curves in characteristic zero Cartesian products of directed graphs with loops.Discrete Math., 341(5):1336–1343, 2018

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Observation 100c0c36-1bc8-4214-8866-9d8f15c8a8bd · outbound

This paper cites Rational expression forj-invariant function in terms of generators of modular function fields.

Isogeny graphs of elliptic curves in characteristic zero Rational expression forj-invariant function in terms of generators of modular function fields

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source=pdf_text observed=2026-08-04T06:18:55.963091Z digest=sha256:860a2393d15badb20256513d4fb76833bd5c97fe6d4a93e20551c25d7c02d26a

Observation abb5dc1f-2cdd-41dd-9113-957dde954b99 · outbound

This paper cites Towards quantum-resistant cryptosystems from supersingular elliptic curve iso- genies.

Isogeny graphs of elliptic curves in characteristic zero Towards quantum-resistant cryptosystems from supersingular elliptic curve iso- genies

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Observation 97e310f9-8c2d-4d62-abb0-5b68ef600b86 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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Observation a02654f9-4605-4766-86d3-ff8fd20b9068 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:56.408662Z digest=sha256:91be2043fd5f70fe4003a30613519512631ddd270f7e1b32db1e81706a2a0527

Observation 2db107ae-5d81-4395-b957-0a22229f1a31 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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Observation 1bfad2c0-068b-4a6f-b391-2971050667ea · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:56.678063Z digest=sha256:66cbaf8e8a6c7d7c7dba578371e9e57db211c97b4797c4e2397c66991488ed33

Observation 8681bdaf-59d6-4dcd-97de-8985cde46b9b · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:56.780082Z digest=sha256:79149465da92e717886f940545873a9454e4a8577c308888fe16ee170b767ef3

Observation 695b577d-21fc-48f1-8048-e3be79bdac71 · outbound

This paper cites Ueber die Transformation siebenter Ordnung der elliptischen Functionen.Math.

Isogeny graphs of elliptic curves in characteristic zero Ueber die Transformation siebenter Ordnung der elliptischen Functionen.Math

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source=pdf_text observed=2026-08-04T06:18:56.885133Z digest=sha256:ff92d0ce95df7f14002a86bebd169f476df3868a3e4d69389723ceda7f3aef54

Observation 33ae0348-2660-4638-a08c-cf87af47f324 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:56.937852Z digest=sha256:f798960fd283ce5f8c512bed49eeb6f6ea34cf966182e2816f21de49afc9fa7a

Observation c1c3bed7-5f65-449e-b3ab-e4819ce6c9f0 · outbound

This paper cites Elliptic curve cryptosystems.Math.

Isogeny graphs of elliptic curves in characteristic zero Elliptic curve cryptosystems.Math

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source=pdf_text observed=2026-08-04T06:18:57.059759Z digest=sha256:a4f169e211662710d2ea20029ebb2118949b3fc1bccf4303ca2707109586980e

Observation bec0df13-fb31-4b8e-a2ed-ede2018b4140 · outbound

This paper cites ProQuest LLC, Ann Arbor, MI, 1996.

Isogeny graphs of elliptic curves in characteristic zero ProQuest LLC, Ann Arbor, MI, 1996

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source=pdf_text observed=2026-08-04T06:18:57.167604Z digest=sha256:4a194177ffd82acee0261d5cd716122f403e1527b835613f5f3eb0291f2c5dad

Observation 2dd0e370-72aa-437c-94bf-74092f987550 · outbound

This paper cites Akademische Verlagsgesellschaft M.

Isogeny graphs of elliptic curves in characteristic zero Akademische Verlagsgesellschaft M

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source=pdf_text observed=2026-08-04T06:18:57.243779Z digest=sha256:4be693e2b6db05d1412ec3b2d9f763ee541a06b62199e4a7665ba9aa058995f5

Observation dcc4e123-1cc2-4eb1-a953-d5994bb921ae · outbound

This paper cites Universal bounds on the torsion of elliptic curves.Proc.

Isogeny graphs of elliptic curves in characteristic zero Universal bounds on the torsion of elliptic curves.Proc

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source=pdf_text observed=2026-08-04T06:18:57.319124Z digest=sha256:1526e0d6126dbc415b68287ffbed25a21e2c6193145b204cfd74cacde3578671

Observation b355ea9d-f51b-4dfa-a5aa-e219b3215049 · outbound

This paper cites Degree of isogenies of elliptic curves with complex multiplication.J.

Isogeny graphs of elliptic curves in characteristic zero Degree of isogenies of elliptic curves with complex multiplication.J

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source=pdf_text observed=2026-08-04T06:18:57.404309Z digest=sha256:1d688f54d0f17b2757643d8039c91bf55ba3566b64e63eb2f33ca2e416bc809d

Observation 68277fd8-ea38-44dd-b8e7-9ed1fa4a0376 · outbound

This paper cites Determinants of subquotients of Galois representations associated with abelian varieties.J.

Isogeny graphs of elliptic curves in characteristic zero Determinants of subquotients of Galois representations associated with abelian varieties.J

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source=pdf_text observed=2026-08-04T06:18:57.534778Z digest=sha256:648b03fe021cf612617cba577239850ee2c63c5948a7ff66d1ba8836c7e1d6ba

Observation e933d0fc-ba3b-4717-9eb9-e6824fc57bf2 · outbound

This paper cites Ligozat.Courbes modulaires de genre1.

Isogeny graphs of elliptic curves in characteristic zero Ligozat.Courbes modulaires de genre1

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source=pdf_text observed=2026-08-04T06:18:57.635741Z digest=sha256:a3c7585cb186950237dcf6836dada9740539dd613ad624033c6ff9dd86d4b69f

Observation a4176d96-dde1-4c55-ba1f-a9911fa5cc6c · outbound

This paper cites The L-functions and modular forms database.https://www.lmfdb.org, 2026.

Isogeny graphs of elliptic curves in characteristic zero The L-functions and modular forms database.https://www.lmfdb.org, 2026

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source=pdf_text observed=2026-08-04T06:18:57.784542Z digest=sha256:5ab6a587c1033615c46398dfce28715d10c324c9a345baf6f7d8057815bc4e02

Observation fc41d2ff-9230-48ac-87cb-874124643ff0 · outbound

This paper cites On the field of definition ofp-torsion points on elliptic curves over the rationals.

Isogeny graphs of elliptic curves in characteristic zero On the field of definition ofp-torsion points on elliptic curves over the rationals

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source=pdf_text observed=2026-08-04T06:18:57.934141Z digest=sha256:72ab5299394acf8dc748fd35a2c8eb13cc419224feeb84e8631a6b1cca2843a4

Observation daf4c637-b1c7-4843-8866-023cf1cb3335 · outbound

This paper cites Galois representations attached to elliptic curves with complex multiplication.Al- gebra Number Theory, 16(4):777–837, 2022.

Isogeny graphs of elliptic curves in characteristic zero Galois representations attached to elliptic curves with complex multiplication.Al- gebra Number Theory, 16(4):777–837, 2022

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source=pdf_text observed=2026-08-04T06:18:58.000303Z digest=sha256:a73576939eaf9731dfb1de5e226aec1e9b6f3f5590a384df0229d1db0df0e63c

Observation d76321fc-fd7d-46fa-aab5-9641e18ab82f · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:58.175731Z digest=sha256:6606f5562ca744413fc54a4f3f99ad999ee523a48a137560fc8db4e8740f56c1

Observation 0b7eaf21-e967-42ba-9acd-8e82bce378f2 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:58.297175Z digest=sha256:012a460c834d4bada97a0078bb7c9b534baf99cf5861165af7657fa88dc6d459

Observation 92d23c12-bef4-4523-aa82-e28ee81f304c · outbound

This paper cites Courbes de Weil de conducteur 26.C.

Isogeny graphs of elliptic curves in characteristic zero Courbes de Weil de conducteur 26.C

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source=pdf_text observed=2026-08-04T06:18:58.422772Z digest=sha256:a2de4bd1e87635e64ddeddbceccbd40ad74f77711158a59799e940528e7bfebd

Observation 9b64923e-8cf6-46ef-ab91-f43f093532da · outbound

This paper cites Bornes pour la torsion des courbes elliptiques sur les corps de nombres.Invent.

Isogeny graphs of elliptic curves in characteristic zero Bornes pour la torsion des courbes elliptiques sur les corps de nombres.Invent

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Observation fe0a986a-09d5-4f4c-8c64-fccef40f697d · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:58.648301Z digest=sha256:0cc24e21bb27c3059924fac317e468bbb7b8bf76892bef01c5b5c6b9fd8c9253

Observation 48cae052-4d1d-4a73-8a83-14e8c3088298 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:58.765654Z digest=sha256:6e50dd26db961a03bf924175a8170241acd7ef3f72fb488427714d6b14c685c0

Observation adfaf130-91ce-41a0-bb5a-769d5dead3ca · outbound

This paper cites Isogenies of prime degree over number fields.Compositio Math., 97(3):329–348, 1995.

Isogeny graphs of elliptic curves in characteristic zero Isogenies of prime degree over number fields.Compositio Math., 97(3):329–348, 1995

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source=pdf_text observed=2026-08-04T06:18:58.899736Z digest=sha256:450b01d63f3c8221aa4e2a4cc7c6ceb5fbbeecd5ce948d75cab37182fae3e63b

Observation f2a263e6-7f56-465c-8b30-cf4a0220e468 · outbound

This paper cites Isogenies of non-CM elliptic curves with rationalj-invariants over number fields.Math.

Isogeny graphs of elliptic curves in characteristic zero Isogenies of non-CM elliptic curves with rationalj-invariants over number fields.Math

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source=pdf_text observed=2026-08-04T06:18:59.003509Z digest=sha256:601ab89db06a84600751945ded6f8dc034f905320506e4176617df64ebd20912

Observation 6867de57-8236-4fd0-9e2b-80e0cd066a5f · outbound

This paper cites Number ofk-rational points with givenj-invariant on modular curves.

Isogeny graphs of elliptic curves in characteristic zero Number ofk-rational points with givenj-invariant on modular curves

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source=pdf_text observed=2026-08-04T06:18:59.124356Z digest=sha256:c75b955899fa95eaf0f5a62b2e9808e952214715e0b2eefa4e6f4d8bf30a1ab5

Observation 0e1fae41-aeee-45a5-bbaa-ab25aa3137bb · outbound

This paper cites Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational j-invariant.J.

Isogeny graphs of elliptic curves in characteristic zero Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational j-invariant.J

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source=pdf_text observed=2026-08-04T06:18:59.258430Z digest=sha256:ee4168e9c4bd32d189b995f76dc3cba9a2dd16e54550f54cfb761d2dd23a1d1a

Observation bac57a62-8a48-4f50-9b41-371e8a5453c4 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

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source=pdf_text observed=2026-08-04T06:18:59.370785Z digest=sha256:05be381f0202fcfa7dd543e64b741a8451c95d8018b03c585233ad34b9c39c6e

Observation 4a6a21e8-2901-4158-8acc-f009320c83b4 · outbound

This paper cites Stephen G.

Isogeny graphs of elliptic curves in characteristic zero Stephen G

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source=pdf_text observed=2026-08-04T06:18:59.521146Z digest=sha256:28d2d7c9d9d2f72fb16e953234cbdaac2e74a433bddb1f48412225656db44910

Observation ee555f44-dbb6-4f08-a202-0cbbdd3f5a54 · outbound

This paper cites Sutherland, and David Zureick-Brown.ℓ-adic images of Galois for elliptic curves overQ(and an appendix with John Voight).Forum Math.

Isogeny graphs of elliptic curves in characteristic zero Sutherland, and David Zureick-Brown.ℓ-adic images of Galois for elliptic curves overQ(and an appendix with John Voight).Forum Math

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source=pdf_text observed=2026-08-04T06:18:59.647705Z digest=sha256:773252932eed155f4b3c773506d863b2d7380957d8024997abc4077a3b037c92

Observation 2428e8d8-80b4-43f0-87b4-8f910a2b89fb · outbound

This paper cites Elliptic curves overQand 2-adic images of Galois.Res.

Isogeny graphs of elliptic curves in characteristic zero Elliptic curves overQand 2-adic images of Galois.Res

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source=pdf_text observed=2026-08-04T06:18:59.759939Z digest=sha256:9a2d403b41990c9ce35b3ac739144b264e35bf9453ea22720dec69377fb2d4e9

Observation 938cb5bf-1c61-4d98-ae5c-bcae062bcf50 · outbound

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Isogeny graphs of elliptic curves in characteristic zero Graph multiplication.Math

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source=pdf_text observed=2026-08-04T06:18:59.881066Z digest=sha256:2608e1261cc2832de490405c25937e3f950936ebad3960b4de48288110e2e0af

Observation 6dc23f2b-6583-46c4-adf8-c745f8b74b1a · outbound

This paper cites ProQuest LLC, Ann Arbor, MI, 2020.

Isogeny graphs of elliptic curves in characteristic zero ProQuest LLC, Ann Arbor, MI, 2020

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source=pdf_text observed=2026-08-04T06:19:00.006546Z digest=sha256:259538c29a0cb808c8ae899ec55b3f307fe26d06518179a9681b38c658749272

Observation b22cc289-3be3-4a78-92dd-abe11925189f · outbound

This paper cites Galois properties of points of finite order of elliptic curves.Invent.

Isogeny graphs of elliptic curves in characteristic zero Galois properties of points of finite order of elliptic curves.Invent

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source=pdf_text observed=2026-08-04T06:19:00.122600Z digest=sha256:303d9db6a2ff9a79c35ec5dc42b65cf0e327418f564b320dee6b7bf8fbdb9f6c

Observation 9430d445-d0c2-4e22-9467-807c51fa88d5 · outbound

This paper cites Springer-Verlag, Berlin-New York, 1980.

Isogeny graphs of elliptic curves in characteristic zero Springer-Verlag, Berlin-New York, 1980

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source=pdf_text observed=2026-08-04T06:19:00.285264Z digest=sha256:1c9f4454b1df0547b81e7b330f6d2c13449675f925baef62005930f5356804ac

Observation c6664368-f2d6-4d2b-a998-0a718475ffd1 · outbound

This paper cites Advanced Book Classics.

Isogeny graphs of elliptic curves in characteristic zero Advanced Book Classics

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source=pdf_text observed=2026-08-04T06:19:00.425234Z digest=sha256:e8a022a534599788ffd36473c2d7c41b37fef276bc7705328046cf60733a808b

Observation e203abde-90d6-4b9d-8af9-494e47142a7c · outbound

This paper cites 1 ofKanˆ o Memo- rial Lectures.

Isogeny graphs of elliptic curves in characteristic zero 1 ofKanˆ o Memo- rial Lectures

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Observation 0f30b327-8421-49be-8a19-2318fd151d88 · outbound

This paper cites Silverberg.

Isogeny graphs of elliptic curves in characteristic zero Silverberg

Reference 82

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source=pdf_text observed=2026-08-04T06:19:00.644326Z digest=sha256:22d010fc884848436a47e8628f8be6b46436f907fe63c5fd21d3148f85fbd7a6

Observation c636ba8e-6ed0-464a-89af-321e5e2e9f5d · outbound

This paper cites Silverman.Advanced topics in the arithmetic of elliptic curves, volume 151 ofGraduate Texts in Mathematics.

Isogeny graphs of elliptic curves in characteristic zero Silverman.Advanced topics in the arithmetic of elliptic curves, volume 151 ofGraduate Texts in Mathematics

Reference 83

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source=pdf_text observed=2026-08-04T06:19:00.754807Z digest=sha256:1709e188483ae481617f56fcde7c8e4618f456277de72ec96b707cfaf32d8648

Observation d294b3d8-478b-4ae6-995d-7f3dce8d2b9a · outbound

This paper cites Silverman.The arithmetic of elliptic curves, volume 106 ofGraduate Texts in Mathematics.

Isogeny graphs of elliptic curves in characteristic zero Silverman.The arithmetic of elliptic curves, volume 106 ofGraduate Texts in Mathematics

Reference 84

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source=pdf_text observed=2026-08-04T06:19:00.837981Z digest=sha256:eb53b65d8804f24bfafa826160d8e8f6718135d4ba5ac9fd507d6abc13e3bbab

Observation be936d24-8f95-45b6-969a-35c754579559 · outbound

This paper cites Sutherland.

Isogeny graphs of elliptic curves in characteristic zero Sutherland

Reference 85

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source=pdf_text observed=2026-08-04T06:19:01.002886Z digest=sha256:4f5da73422d2defcebb6d9b5c73ac1fa6405b751dac1036e11de34cbd41cda97

Observation e7a3005a-b03a-43dc-9df1-6c5a42f41b14 · outbound

This paper cites On the lattice of subgroups of finite groups.Trans.

Isogeny graphs of elliptic curves in characteristic zero On the lattice of subgroups of finite groups.Trans

Reference 86

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source=pdf_text observed=2026-08-04T06:19:01.164361Z digest=sha256:c8210b2ef5f02399a43ac92e097efee9330ec6cd72fb382d18288c2c68386847

Observation 3ceb20f3-6bc8-4115-88ea-8cf31117672c · outbound

This paper cites https://www.sagemath.org.

Isogeny graphs of elliptic curves in characteristic zero https://www.sagemath.org

Reference 87

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source=pdf_text observed=2026-08-04T06:19:01.331248Z digest=sha256:b991d7139b84b6f70e12165396a63a810589edc6cdf7008e0616c6859cf07fc0

Observation e0bc57a2-8c6a-4ec7-a3c1-ef98bd98d715 · outbound

This paper cites On the number of edges of cyclic subgroup graphs of finite groups.Arch.

Isogeny graphs of elliptic curves in characteristic zero On the number of edges of cyclic subgroup graphs of finite groups.Arch

Reference 88

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source=pdf_text observed=2026-08-04T06:19:01.494260Z digest=sha256:d56c734afd5b818740594f43f348a2f76bae4510a61547563ba918a25f8d5f32

Observation ae6d7cf0-258d-4274-9239-c8ec4c5ebafa · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 89

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source=pdf_text observed=2026-08-04T06:19:01.601043Z digest=sha256:5993136705a54dd8211d2a187c387c8f67c190281708036bfe8849cb684d3e85

Observation d3f91e4b-8b95-4752-9ecc-adf6f60a17d4 · outbound

This paper cites Springer, Cham, 2021.

Isogeny graphs of elliptic curves in characteristic zero Springer, Cham, 2021

Reference 90

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source=pdf_text observed=2026-08-04T06:19:01.722666Z digest=sha256:eedd1d3cd105dbe44e6a186616f17f6a3bb2ee1e88fe86f0db9e1b1fb08aa946

Observation dc285d10-76b1-4093-9a5a-6b979f759040 · outbound

This paper cites Isogenies over quadratic fields of elliptic curves with rationalj-invariant, 2022.

Isogeny graphs of elliptic curves in characteristic zero Isogenies over quadratic fields of elliptic curves with rationalj-invariant, 2022

Reference 91

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source=pdf_text observed=2026-08-04T06:19:01.864689Z digest=sha256:9a7a418fa14d50a03fe6b37f9b2b2f237f80306d4de17df5c4a17680048ea581

Observation c1ea4ccc-9064-472d-9349-9eb62d5a77dc · outbound

This paper cites Waterhouse.

Isogeny graphs of elliptic curves in characteristic zero Waterhouse

Reference 92

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source=pdf_text observed=2026-08-04T06:19:02.005929Z digest=sha256:59afe3c8e2324a58ee82418d4ff89b72a52073001d28ea0aa6149dcbadf97539

Observation d4c7dcb9-5268-4ece-b4a5-6f6932fee7eb · outbound

This paper cites Classification of modular curves with low gonality.

Isogeny graphs of elliptic curves in characteristic zero Classification of modular curves with low gonality

Reference 93

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source=pdf_text observed=2026-08-04T06:19:02.140995Z digest=sha256:77f0f9a28c71a56fdbbe1e5c672157b59adb5b8f71126f35acf55fec4b2415f8

Observation 397fb8a8-a82e-4bab-8e9b-769aba25c977 · outbound

This paper cites Elliptic curves with maximal Galois action on their torsion points.Bull.

Isogeny graphs of elliptic curves in characteristic zero Elliptic curves with maximal Galois action on their torsion points.Bull

Reference 94

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Observation 6ba32ed4-05ec-4fcb-bb51-d2cd82ef1608 · outbound

This paper cites an unresolved cited work.

Isogeny graphs of elliptic curves in characteristic zero Unresolved cited work

Reference 476

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source=pdf_text observed=2026-08-04T06:18:52.811485Z digest=sha256:50d5ea9cf983dd524ce519e0aa1ba9295ae6e4327b5ffe8a2bc4b0d7004a9d2d

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