3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
Hasse principle violations in twist families of superelliptic curves
Lori D. Watson
Conditionally on the conjecture, we generalize previous work of Clark and the author to show that a superelliptic curve of sufficiently high genus has infinit…
Odd degree isolated points on with rational -invariant
Abbey Bourdon, David R. Gill, Jeremy Rouse +1
Let be a curve defined over a number field . We say a closed point of degree is isolated if it does not belong to an infinite family of degree points parame…