Computations on Modular Jacobian Surfaces
Number Theory
2026-02-13 v1 Algebraic Geometry
Abstract
We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties attached by Shimura to normalized newforms . We present all the curves corresponding to principally polarized surfaces for .
Cite
@article{arxiv.2602.11766,
title = {Computations on Modular Jacobian Surfaces},
author = {Enrique González-Jiménez and Josep González and Jordi Guàrdia},
journal= {arXiv preprint arXiv:2602.11766},
year = {2026}
}
Comments
Version with updated references compared to the published version