Lori D. Watson

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math.NT2025

Minimal torsion curves in geometric isogeny classes

Abbey Bourdon, Nina Ryalls, Lori D. Watson

In this paper, we introduce the study of minimal torsion curves within a fixed geometric isogeny class. For a $Q$ -isogeny class $E$ of elliptic curves…

math.NT2024

Towards a classification of $p^{2}$ -discriminant ideal twins over number fields

Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga +3

Isogenous elliptic curves have the same conductor but not necessarily the same minimal discriminant ideal. In this article, we explicitly classify all $p^{2}$ -isogenous elliptic curv…

Minimal torsion curves in geometric isogeny classes

Towards a classification of p2-discriminant ideal twins over number fields

Towards a classification of $p^{2}$ -discriminant ideal twins over number fields