English

On Heegner points of large conductors

Number Theory 2007-05-23 v1

Abstract

Given a parametrisation of an elliptic curve over Q by a Shimura curve, we show that the images of almost all Heegner points are of infinite order. For parametrisations of elliptic curves by modular curves this was proven earlier by Nekovar and Schappacher by a different method.

Keywords

Cite

@article{arxiv.math/0012269,
  title  = {On Heegner points of large conductors},
  author = {Chandrashekhar Khare and C. S. Rajan},
  journal= {arXiv preprint arXiv:math/0012269},
  year   = {2007}
}