On the 2-divisibility of certain Heenger points

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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.
10 pages, 3 tables

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Number Theory, 11G05; 11G40

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http://salesiana.dossiersoluciones.com/handle/123456789/106419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512628
 http://arxiv.org/abs/math/0512628

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arXiv