Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves
Number Theory
2022-12-12 v1
Abstract
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves . In this paper we compute the -rational points on the Atkin-Lehner quotients of these curves using a variety of techniques. We also determine which rational points are CM for many of these curves.
Keywords
Cite
@article{arxiv.2212.04553,
title = {Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves},
author = {Oana Padurariu and Ciaran Schembri},
journal= {arXiv preprint arXiv:2212.04553},
year = {2022}
}
Comments
23 pages. Comments welcome!