Examines distributions of Iwasawa λ-invariants of Z_p-towers over supersingular ℓ-isogeny graphs for varying ℓ, connecting graph theory, Iwasawa theory, elliptic curves and newform Galois representations, and proposes a conjecture on Galois orbits of newforms.
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Distributions of Iwasawa $\lambda$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs
Examines distributions of Iwasawa λ-invariants of Z_p-towers over supersingular ℓ-isogeny graphs for varying ℓ, connecting graph theory, Iwasawa theory, elliptic curves and newform Galois representations, and proposes a conjecture on Galois orbits of newforms.