22 citations · 165 across the 25 of their papers we have counts for
25 papers
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…
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 .…
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…
Computations on Modular Jacobian Surfaces
Enrique González-Jiménez, Josep González, Jordi Guàrdia
We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties attached by Shimura to normalized newforms . We pr…
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…
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…