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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
New isogenies of elliptic curves over number fields
Tyler Genao
Using Galois representations, we analyze fields of definition of cyclic isogenies on elliptic curves to prove the following uniformity result: for any number field which has no…