Finding rational points on elliptic curves using 6-descent and 12-descent

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dc.creatorFisher, Tom
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:44:42Z
dc.date.available2026-07-07T08:44:42Z
dc.descriptionWe explain how recent work on 3-descent and 4-descent for elliptic curves over Q can be combined to search for generators of the Mordell-Weil group of large height. As an application we show that every elliptic curve of prime conductor in the Stein-Watkins database has rank at least as large as predicted by the conjecture of Birch and Swinnerton-Dyer.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/0711.3774
dc.identifierhttp://arxiv.org/abs/0711.3774
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142750
dc.subjectNumber Theory
dc.subject11G05
dc.titleFinding rational points on elliptic curves using 6-descent and 12-descent
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