collaborators

6 papers

math.NT2026

Isogeny graphs of elliptic curves in characteristic zero

Alexander J. Barrios, Enrique González-Jiménez, Ivan Novak

For an elliptic curve defined over a field of characteristic with , we classify which isogeny graphs can…

math.NT2026

Non-hyperelliptic modular curves of genus 3

Enrique González-Jiménez, Roger Oyono

A curve defined over is modular of level if there exists a non-constant morphism from onto defined over for some positive integer .…

math.NT2026

On the Brauer class of Modular Endomorphism Algebras

Enrique González-Jiménez, Eknath Ghate, Jordi Quer

We investigate the Brauer class of the endomorphism algebra of the motive attached to a non-CM form. The ramification of the algebra is shown in many cases to be controlled by the…

math.NT2026

Computations on Modular Jacobian Surfaces

Enrique González-Jiménez, Josep González, Jordi Guà rdia

We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties attached by Shimura to normalized newforms . We p…

math.NT2026

On the squareness of the discriminant of elliptic curves with an isogeny

Enrique González-Jiménez

We establish a classification of the values of \( N \) for which an elliptic curve defined over \( \mathbb{Q} \) with square discriminant admits an \( N \)-isogeny. Furthermore, we…

math.NT2025

Models of CM elliptic curves with a prescribed -adic Galois image

Enrique González-Jiménez, Álvaro Lozano-Robledo, Benjamin York

For each prime number and for each imaginary quadratic order of class number one or two, we determine all the possible -adic Galois representations that occur for any…