Supersingular elliptic curves‎, ‎binary quadratic forms and isogenies

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Document Type : Original Article

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Department of pure mathematics, faculty of mathematical science, University of Kashan, Kashan, Iran

Abstract

Many ‎of researchers have explored the construction of isogenies between particular elliptic curves‎, ‎largely due to the extensive range of their practical applications‎. In this paper‎, ‎we use the relationship between supersingular elliptic curves over $\mathbb{F}_{p}$ and binary quadratic forms to generate isogenies connecting supersingular elliptic curves over $\mathbb{F}_{p}$‎.

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AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 16 October 2024

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