Reference : Critère d'irréductibilité pour les courbes elliptiques semi-stables sur un corps de n...
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11498
Critère d'irréductibilité pour les courbes elliptiques semi-stables sur un corps de nombres
French
[en] Irreducibility criterion for semistable elliptic curves over a number field
David, Agnès mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
8-Feb-2012
19
No
[en] Mathematics - Number Theory ; 11G05 ; 11G15 ; 11F80
[en] For a fixed number field and an elliptic curve defined and semistable over this number field, we consider the set of prime numbers p such that the Galois representation attached to the p-torsion points of the elliptic curve is reducible. When the number field satisfies a certain necessary condition, we give an explicit bound, depending only on the number field and not on the semistable elliptic curve, for these primes. This generalizes previous results of Kraus.
http://hdl.handle.net/10993/11498
http://arxiv.org/abs/1202.1649

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