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

preprint2014arXivOpen access

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

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Computing Galois representations and equations for modular curves XH(ℓ)X_H(\ell)XH​(ℓ)

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