{"paper":{"title":"Torsion groups of elliptic curves over the $\\mathbb Z_p$-extensions of $\\mathbb Q$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Filip Najman, Harris B. Daniels, Ivan Krijan, Michael Chou","submitted_at":"2018-08-15T18:24:08Z","abstract_excerpt":"We determine, for an elliptic curve $E/\\mathbb Q$ and for all $p$, all the possible torsion groups $E(\\mathbb Q_{\\infty, p})_{tors}$, where $\\mathbb Q_{\\infty, p}$ is the $\\mathbb Z_p$-extension of $\\mathbb Q$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05243","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}