Title:
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On fields of definition of torsion points of elliptic curves with complex multiplication
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Author:
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Dieulefait, L. V. (Luis Victor); Gonzalez-Jimenez, Enrique; Jimenez Urroz, Jorge
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Other authors:
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Universitat de Barcelona |
Abstract:
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For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every prime $p$, we describe the image of the mod $ p$ Galois representation attached to $E$. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all cases where there are torsion points over Galois number fields not containing the field of definition of the CM. |
Subject(s):
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-Corbes el·líptiques -Teoria de Galois -Geometria algebraica aritmètica -Grups discontinus -Elliptic curves -Galois theory -Arithmetical algebraic geometry -Discontinuous groups |
Rights:
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(c) American Mathematical Society (AMS), 2011
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society (AMS)
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