On the 2-divisibility of certain Heenger points
Number Theory
2007-05-23 v1
Abstract
Let E be an elliptic curve defined over the rationals and let N be its conductor. Assume N is prime. In this paper we give numerical evidence that suggests some conjectures on the 2-divisibility of certain sums of Heenger points on E of discriminant D dividing 4N. One of these conjectures suggests a possible link between the parity of the eigenvalue a_A(2) and the parity of the Shafarevich-Tate group of certain elliptic curves A of square conductor.
Cite
@article{arxiv.math/0512628,
title = {On the 2-divisibility of certain Heenger points},
author = {Carlos Castano-Bernard},
journal= {arXiv preprint arXiv:math/0512628},
year = {2007}
}
Comments
10 pages, 3 tables