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oaioai:oskar-bordeaux.fr:20.500.12278/114427

Gonality of the modular curve X1(N)

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1 April 2014
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Abstract

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) has infinitely points of degree <= 8. We conjecture that the modular units of Q(X1(N)) are freely generated by f_2,...,f_{[N/2]+1} where f_k is obtained from the equation for X1(k)

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Oskar Bordeaux

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Last time updated on 18/11/2021

This paper was published in Oskar Bordeaux.

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