On the independence of Heegner points associated to distinct quadratic imaginary fields on CM elliptic curves
Number Theory
2011-11-08 v2 Algebraic Geometry
Abstract
This paper is complementary to the work Rosen-Silverman, which derives a criteria on the number fields for the independence of Heegner points associated to them on non-CM elliptic curves. We show that the same criteria holds for CM elliptic curves. A generalisation of the independence criteria for the Heegner points associated to an order of fixed conductor of quadratic imaginary fields can also be found in this paper.
Keywords
Cite
@article{arxiv.1111.1189,
title = {On the independence of Heegner points associated to distinct quadratic imaginary fields on CM elliptic curves},
author = {Hatice Sahinoglu},
journal= {arXiv preprint arXiv:1111.1189},
year = {2011}
}