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

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Proceedings of the American Mathematical Society, 2011, vol. 139, num. 6, p. 1961-1969

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 2011

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
On fields of definition of torsion points of elliptic curves with complex multiplication