Elliptic curves with isomorphic groups of points over finite field extensions

DOI10.1016/j.jnt.2017.05.028zbMath1406.11058arXiv1605.03474OpenAlexW2363780682MaRDI QIDQ2403257

Michela Mazzoli, Clemens Heuberger

Publication date: 8 September 2017

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

Full work available at URL: https://arxiv.org/abs/1605.03474

zbMATH Keywords

finite fieldrational pointsisogenyelliptic curveisomorphismvaluationfield extension

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (3)

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. I ⋮ Elliptic curves maximal over extensions of finite base fields ⋮ A remark on the group structure of 2-isogenous elliptic curves in towers of finite fields

Cites Work

• Endomorphisms of Abelian varieties over finite fields
• Abelian varieties over finite fields
• Group structure of elliptic curves over finite fields.

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