Courbes modulaires et 11-rang de corps quadratiques

Franck Leprévost

doi:em/1048516218

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Home > Journals > Experiment. Math. > Volume 2 > Issue 2 > Article

1993 Courbes modulaires et 11-rang de corps quadratiques

Franck Leprévost

Experiment. Math. 2(2): 137-146 (1993).

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Abstract

Nous construisons 53 corps quadratiques imaginaires ayant un 11-rang égal í 3, et sept corps quadratiques réels de 11-rang égal à 2. Ce sont, à notre connaissance, les premiers exemples de tels corps.

We construct 53 imaginary quadratic fields of 11-rank equal to 3, and seven quadratic fields of 11-rank equal to 2. These appear to be the first examples of such fields.