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arxiv: 1312.6819 · v2 · pith:EGKGRWHJnew · submitted 2013-12-24 · 🧮 math.NT

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

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keywords modularequationsgaloisrepresentationsassociatedcomputecomputingconstruct
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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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