3 papers
math.NT2024
The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II
John Cullinan, Shanna Dobson, Linda Frey +5
Let and be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq…
math.NT2023
Explicit height estimates for CM curves of genus 2
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García
In this paper we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM…
math.NT2018
Small Heights in Large Non-Abelian Extensions
Linda Frey
Let E be an elliptic curve over the rationals. Let L be an infinite Galois extension of the rationals with uniformly bounded local degrees at almost all primes. We will consider th…