On the 2-divisibility of certain Heenger points

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dc.creatorCastano-Bernard, Carlos
dc.date2005-12-28
dc.date.accessioned2026-07-07T06:55:51Z
dc.date.available2026-07-07T06:55:51Z
dc.descriptionLet 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.
dc.description10 pages, 3 tables
dc.identifierhttps://arxiv.org/abs/math/0512628
dc.identifierhttp://arxiv.org/abs/math/0512628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106419
dc.subjectNumber Theory
dc.subject11G05; 11G40
dc.titleOn the 2-divisibility of certain Heenger points
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