Elliptic Curves of Odd Modular Degree

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dc.creatorCalegari, Frank
dc.creatorEmerton, Matthew
dc.date2005-03-17
dc.date.accessioned2026-07-07T05:18:04Z
dc.date.available2026-07-07T05:18:04Z
dc.descriptionThe modular degree m_E of an elliptic curve E/Q is the minimal degree of any surjective morphism X_0(N) -> E, where N is the conductor of E. We give a necessarily set of criteria for m_E to be odd. Specializing to N prime our results imply a conjecture of Mark Watkins. As a technical tool we also prove a certain multiplicity one result for p=2 that may be of independent interest.
dc.identifierhttps://arxiv.org/abs/math/0503359
dc.identifierhttp://arxiv.org/abs/math/0503359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74533
dc.subjectNumber Theory
dc.titleElliptic Curves of Odd Modular Degree
dc.typetext

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