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

Zeng, Jinxiang; Derickx, Maarten; van Hoeij, Mark

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

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Author(s): Jinxiang Zeng, Maarten Derickx, Mark van Hoeij

Publication date: 2014-03-18

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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.