The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. II

DOI10.1016/J.JNT.2024.07.013MaRDI QIDQ6623032

Asimina S. Hamakiotes, Linda Frey, Roberto Hernández, Gabrielle Scullard, Shanna Dobson, Jorge Mello, John Cullinan, Nathan Kaplan

Publication date: 23 October 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldelliptic curveChebotarevisogeny volcano

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Curves over finite and local fields (11G20) Varieties over finite and local fields (11G25)

Cites Work

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• Isogeny volcanoes
• The image of Galois representations attached to elliptic curves with an isogeny
• Determining the $2$-Sylow subgroup of an elliptic curve over a finite field
• A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
• The decomposition of primes in torsion point fields
• The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. I

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