Integral points of a modular curve of level 11
Number Theory
2011-07-15 v1
Abstract
Using lower bounds for linear forms in elliptic logarithms we determine the integral points of the modular curve associated to the normalizer of a non-split Cartan group of level 11. As an application we obtain a new solution of the class number one problem for complex quadratic fields.
Keywords
Cite
@article{arxiv.1107.2776,
title = {Integral points of a modular curve of level 11},
author = {René Schoof and Nikos Tzanakis},
journal= {arXiv preprint arXiv:1107.2776},
year = {2011}
}
Comments
10 pages. To be published in Acta Arithmetica