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Original Articles

Courbes modulaires et 11-rang de corps quadratiques

Pages 137-146 | Published online: 03 Apr 2012
 

Abstract

Nous construisons 53 corps quadratiques imaginaires ayant un ll-rang égal à 3, et sept corps quadratiques reels de ll-rang égal à 2. Ce sont, à notre connaissance, les premiers exemples de tels corps.

We construct 53 imaginary quadratic fields of ll -rank equal to 3, and seven quadratic fields of ll-rank equal to 2. These appear to be the first examples of such fields.

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