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arXiv 2013-12-24 0 views

Computing Galois representations and equations for modular curves Xₕ(ℓ)

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

Original · EN

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

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