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Comptes Rendus Mathématique
Volume 353, n° 8
pages 683-688 (août 2015)
Doi : 10.1016/j.crma.2015.05.004
Received : 9 Mars 2015 ;  accepted : 22 May 2015
The truth about torsion in the CM case
La vérité sur la torsion dans le cas CM

Pete L. Clark , Paul Pollack
 Department of Mathematics, University of Georgia, Athens, GA, 30602, USA 


Let   be the maximum size of the torsion subgroup of an elliptic curve with complex multiplication over a degree d number field. We show there is an absolute, effective constant C such that   for all  .

The full text of this article is available in PDF format.

Soit   la taille maximale du sous-groupe de torsion d'une courbe elliptique à multiplications complexes, définie sur un corps de nombres de degré d . Nous montrons qu'il existe C une constante absolue, effective, telle que   pour tout  .

The full text of this article is available in PDF format.

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