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math.NT2025
The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
Kate Finnerty, Tyler Genao, Jacob Mayle +1
In the 1970s, Serre proved that the adelic index of a non-CM elliptic curve over a number field is finite. More recently, Zywina conjectured the complete set of adelic indices for…
math.NT2025
A uniform bound on the smallest surjective prime of an elliptic curve
Tyler Genao, Jacob Mayle, Jeremy Rouse
Let be an elliptic curve without complex multiplication. A well-known theorem of Serre asserts that the -adic Galois representation is surj…