On fields of definition of torsion points of elliptic curves with complex multiplication

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Título:	On fields of definition of torsion points of elliptic curves with complex multiplication
Autor/a:	Dieulefait, L. V. (Luis Victor); Gonzalez-Jimenez, Enrique; Jimenez Urroz, Jorge
Otros autores:	Universitat de Barcelona
Abstract:	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.
Materia(s):	-Corbes el·líptiques -Teoria de Galois -Geometria algebraica aritmètica -Grups discontinus -Elliptic curves -Galois theory -Arithmetical algebraic geometry -Discontinuous groups
Derechos:	(c) American Mathematical Society (AMS), 2011
Tipo de documento:	Artículo Artículo - Versión publicada
Editor:	American Mathematical Society (AMS)
Compartir:

Dieulefait, L. V. (Luis Victor); Pacetti, Ariel; Schütt, Matthias

Berrone, Lucio R.; Dieulefait, L. V. (Luis Victor)

Dieulefait, L. V. (Luis Victor); Wiese, Gabor

Dieulefait, L. V. (Luis Victor); Soto Ballesteros, Eduard

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