A lower bound for the canonical height on elliptic curves over abelian extensions

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dc.creatorSilverman, Joseph H.
dc.date2003-05-01
dc.date.accessioned2026-07-07T04:57:42Z
dc.date.available2026-07-07T04:57:42Z
dc.descriptionLet E/K be an ellptic curve defined over a number field, let h be the canonical height on E, and let K^ab be the maximal abelian extension of K. Extending work of M. Baker, we prove that there is a positive constant C(E/K) so that every nontorsion point P in E(K^ab) satisfies h(P) > C(E/K).
dc.identifierhttps://arxiv.org/abs/math/0305041
dc.identifierhttp://arxiv.org/abs/math/0305041
dc.identifierJournal of Number Theory 104 (2004), 353--372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67351
dc.subjectNumber Theory
dc.subjectCommutative Algebra
dc.subject11G05 (Primary) 11G10, 14G25, 14K15 (Secondary)
dc.titleA lower bound for the canonical height on elliptic curves over abelian extensions
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