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math.NT2024
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 -isogeny class of elliptic curves…
math.NT2024
Towards a classification of -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 -isogenous elliptic curv…