Glasnik Matematicki, Vol. 41, No.1 (2006), 31-49.

2-RANG DU GROUPE DES CLASSES ET COURBES ELLIPTIQUES

Aïni Laoudi

Université des Sciences et de la Technologie Houari Boumediene, Faculté de Mathéematiques, B.P. 32, El Allia, Bab Ezzouar-16111-Alger, Algérie

e-mail: laoudi@math.jussieu.fr
e-mail: laoudia@yahoo.fr

Abstract.   We study the relationship between the 2-rank of class groups of a family of cubic fields and the rank of a family of elliptic curves.

Résumé.   Dans cet article, nous étudions la relation qui existe entre le 2-rang du groupe des classes d'une famille de corps cubiques et le rang d'une famille de courbes elliptiques.

2000 Mathematics Subject Classification.   14H52, 14G05, 11R29.

Key words and phrases.   Elliptic curves, rank, class groups.

DOI: 10.3336/gm.41.1.03

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