A bound for the "torsion conductor" of a non-CM elliptic curve

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dc.creatorJones, Nathan
dc.date2007-11-09
dc.date.accessioned2026-07-07T08:42:13Z
dc.date.available2026-07-07T08:42:13Z
dc.descriptionGiven a non-CM elliptic curve E over Q, define the ``torsion conductor'' m_E to be the smallest positive integer so that the Galois representation on the torsion of E has image Pi^{-1}(Gal(Q(E[m_E])/Q), where Pi denotes the natural projection GL_2(\hat{Z}) onto GL_2(Z/m_E Z). We show that, uniformly for semi-stable non-CM elliptic curves E over Q, m_E is less than a constant times the 5th power of the conductor of E.
dc.description9 pages, submitted for publication
dc.identifierhttps://arxiv.org/abs/0711.1546
dc.identifierhttp://arxiv.org/abs/0711.1546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141887
dc.subjectNumber Theory
dc.subject11G05, 11F80
dc.titleA bound for the "torsion conductor" of a non-CM elliptic curve
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