A Modular Curve of Level 9 and the Class Number One Problem
Number Theory
2009-02-18 v2
Abstract
In this note we give an explicit parametrization of the modular curve associated to the normalizer of a non-split Cartan subgroup of level 9. We determine all integral points of this modular curve. As an application, we give an alternative solution to the class number one problem.
Cite
@article{arxiv.0801.4693,
title = {A Modular Curve of Level 9 and the Class Number One Problem},
author = {Burcu Baran},
journal= {arXiv preprint arXiv:0801.4693},
year = {2009}
}
Comments
18 pages