Rational points on $X^+_0(125)$
Number Theory
2022-12-27 v2 Algebraic Geometry
Abstract
We compute the rational points on the Atkin-Lehner quotient using the quadratic Chabauty method. Our work completes the study of exceptional rational points on the curves of genus between 2 and 6. Together with the work of several authors, this completes the proof of a conjecture of Galbraith.
Keywords
Cite
@article{arxiv.2205.14744,
title = {Rational points on $X^+_0(125)$},
author = {Vishal Arul and J. Steffen Müller},
journal= {arXiv preprint arXiv:2205.14744},
year = {2022}
}
Comments
8 pages; minor changes following referee report