Computing integral points on X_ns^+(p)
Number Theory
2021-05-26 v4
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.
Cite
@article{arxiv.1212.0665,
title = {Computing integral points on X_ns^+(p)},
author = {Aurélien Bajolet and Yuri Bilu and Benjamin Matschke},
journal= {arXiv preprint arXiv:1212.0665},
year = {2021}
}
Comments
To appear in Algebra and Number Theory