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arXiv · 1312.6819

Computing Galois representations and equations for modular curves $X_H(\ell)$

Maarten Derickx·Mark van Hoeij·Jinxiang Zeng
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Abstract

We construct plane models of the modular curve $X_H(\ell)$, and use their explicit equations to compute Galois representations associated to modular forms for values of $\ell$ that are significantly higher than in prior works.

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Maarten Derickx, Mark van Hoeij, Jinxiang Zeng. 2014-03-18. Computing Galois representations and equations for modular curves $X_H(\ell)$. https://arxiv.org/abs/1312.6819

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