2 citations · 2 across the 7 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
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
Uniform bounds on the level of cyclotomic division fields of elliptic curves
Sam Allen, Tyler Genao
In this paper, we prove that for each number field there exists a uniform bound on the prime levels of elliptic curves for which . Under the Generaliz…
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…