Dieulefait, L. V. (Luis Victor)Gonzalez-Jimenez, EnriqueJimenez Urroz, Jorge2016-03-182016-03-182011-060002-9939https://hdl.handle.net/2445/96600For 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.9 p.application/pdfeng(c) American Mathematical Society (AMS), 2011Corbes el·líptiquesTeoria de GaloisGeometria algebraica aritmèticaGrups discontinusElliptic curvesGalois theoryArithmetical algebraic geometryDiscontinuous groupsinfo:eu-repo/semantics/article5872872016-03-18info:eu-repo/semantics/openAccess