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math.NT2013★ 1 cited
Computing Galois representations and equations for modular curves
Maarten Derickx, Mark van Hoeij, Jinxiang Zeng
We construct plane models of the modular curve , and use their explicit equations to compute Galois representations associated to modular forms for values of that…
math.NT2013★ 27 cited
Gonality of the modular curve X1(N)
Maarten Derickx, Mark van Hoeij
In this paper we compute the gonality over Q of the modular curve X1(N) for all N <= 40 and give upper bounds for each N <= 250. This allows us to determine all N for which X1(N) h…