Supersingular elliptic curves, binary quadratic forms and isogenies

نویسندگان

1 Faculty of mathematical sciences, University of Kashan, Kashan, Iran

2 Faculty of mathematical sciences, University of Kashan, Kashan, Iran

doi
10.22060/ajmc.2024.23144.1245
چکیده

Many 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 $\mathbb{F}_{p}$.