Linda Frey

activity

20172024

collaborators

5 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 $E$ and $E^{'}$ be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime $p$ \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.NT2023

Transcendence measure of $e^{1/ n}$

Marta Dujella, Anne-Maria Ernvall-Hytönen, Linda Frey +1

For a given transcendental number $ξ$ and for any polynomial $P (X) =: λ_{0} + \dots + λ_{k} X^{k} \in Z [X]$ , we know that $P (ξ) \neq = 0.$ Let $k \geq 1$ and $ω (k, H)$ be the infimum…

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…

math.NT2017

Explicit Small Heights in Infinite Non-Abelian Extensions

Linda Frey

Let $E$ be an elliptic curve over the rationals. We will consider the infinite extension $Q (E_{tor})$ of the rationals where we adjoin all coordinates of torsion po…

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II

Explicit height estimates for CM curves of genus 2

Transcendence measure of e1/n

Small Heights in Large Non-Abelian Extensions

Explicit Small Heights in Infinite Non-Abelian Extensions

Transcendence measure of $e^{1/ n}$