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

Published 24 Dec 2013 in math.NT | (1312.6819v2)

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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