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math.NT2024
Uniform polynomial bounds on torsion from rational geometric isogeny classes
Abbey Bourdon, Tyler Genao
In 1996, Merel showed there exists a function such that for any elliptic curve defined over a number field of degree , one h…
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…