A remark on the group structure of 2-isogenous elliptic curves in towers of finite fields

zbMath1468.11146MaRDI QIDQ2305488

John Cullinan

Publication date: 11 March 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2020/26-10.html

zbMATH Keywords

finite fieldisogenyelliptic curve

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items (1)

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

Cites Work

• A remark on the group structure of elliptic curves in towers of finite fields
• Complex multiplication structure of elliptic curves
• Elliptic curves with isomorphic groups of points over finite field extensions
• Computing the endomorphism ring of an ordinary elliptic curve over a finite field
• Pairing the volcano
• Group structure of elliptic curves over finite fields.

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