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arXiv · 1212.0665

Computing integral points on X_ns^+(p)

Aurélien Bajolet·Yuri Bilu·Benjamin Matschke
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Abstract

We describe an algorithm for computing integral points on the modular curve of prime level p associated to the normalizer of a non-split Cartan subgroup of GL_2(F_p). Using our method, we show that for 7<p<101 the only integral points on this curve are the CM-points.

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Aurélien Bajolet, Yuri Bilu, Benjamin Matschke. 2012-12-04. Computing integral points on X_ns^+(p). https://doi.org/10.2140/ant.2021.15.569

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