A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves

Abstract Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves in the isogeny class, with the degree...

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Bibliographic Details
Main Authors: Garen Chiloyan, Álvaro Lozano‐Robledo
Format: Article
Language:English
Published: Wiley 2021-12-01
Series:Transactions of the London Mathematical Society
Subjects:
Online Access:https://doi.org/10.1112/tlm3.12024