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arXiv · 2602.11766

Computations on Modular Jacobian Surfaces

Enrique González-Jiménez·Josep González·Jordi Guàrdia
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Abstract

We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties $A_f$ attached by Shimura to normalized newforms $f \in S_2( \Gamma_0(N))$. We present all the curves corresponding to principally polarized surfaces $A_f$ for $N\leq500$.

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Enrique González-Jiménez, Josep González, Jordi Guàrdia. 2026-02-12. Computations on Modular Jacobian Surfaces. https://doi.org/10.1007/3-540-45455-1_15

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