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On fields of definition of torsion points of elliptic curves with complex multiplication
- Publication Year :
- 2011
-
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.<br />Postprint (published version)
Details
- Database :
- OAIster
- Notes :
- 9 p., application/pdf, English
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1132956657
- Document Type :
- Electronic Resource