Computing integral points on X+ns(p)

Bajolet, Aurélien; Bilu, Yuri; Matschke, Benjamin

doi:10.2140/ant.2021.15.569

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Journal Article

Computing integral points on X⁺_ns(p)

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Matschke, Benjamin
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2140/ant.2021.15.569
(Publisher version)

https://doi.org/10.48550/arXiv.1212.0665
(Preprint)

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Bajolet-Bilu-Matschke_Computing integral points on X_2021.pdf
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Citation

Bajolet, A., Bilu, Y., & Matschke, B. (2021). Computing integral points on X⁺_ns(p). Algebra & Number Theory, 15(3), 569-608. doi:10.2140/ant.2021.15.569.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B611-7

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.