Integral points on a certain family of elliptic curves
Number Theory
2015-06-12 v2
Abstract
The Thue-Siegel method is used to obtain an upper bound for the number of primitive integral solutions to a family of quartic Thue's inequalities. This will provide an upper bound for the number of integer points on a family of elliptic curves with j-invariant equal to 1728.
Keywords
Cite
@article{arxiv.1504.00710,
title = {Integral points on a certain family of elliptic curves},
author = {Shabnam Akhtari},
journal= {arXiv preprint arXiv:1504.00710},
year = {2015}
}