Towards a Classification of $$p^2$$-Discriminant Ideal Twins Over Number Fields
Abstract
Abstract Isogenous elliptic curves have the same conductor but not necessarily the same minimal discriminant ideal. In this article, we explicitly classify all $$p^2$$ p 2 -isogenous elliptic curves defined over a number field with the same minimal discriminant ideal for odd prime p where $$X_0(p^2)$$ X 0 ( p 2 ) has genus 0, i.e., $$p = 3$$ p = 3 or 5. As a consequence, we give a list of all $$p^2$$ p 2 -isogenous discriminant (ideal) twins over $$\mathbb {Q}$$ Q for such p .
Fields of Study & Subjects
Coding theory and cryptography
Publication details
- Journal / source
- Association for Women in Mathematics series
- Pages
- 55–77
- Publication date
- 1 January 2026
- Language
- EN