Experimental Mathematics

Courbes modulaires et 11-rang de corps quadratiques

Franck Leprévost

Résumé

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.

Abstract

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.

Article information

Source
Experiment. Math., Volume 2, Issue 2 (1993), 137-146.

Dates
First available in Project Euclid: 24 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1048516218

Mathematical Reviews number (MathSciNet)
MR1259427

Zentralblatt MATH identifier
0804.11062

Subjects
Primary: 11G30: Curves of arbitrary genus or genus = 1 over global fields [See also 14H25]
Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties [See also 14G35] 11R11: Quadratic extensions 11R29: Class numbers, class groups, discriminants 11R65: Class groups and Picard groups of orders 11Y40: Algebraic number theory computations

Citation

Leprévost, Franck. Courbes modulaires et 11-rang de corps quadratiques. Experiment. Math. 2 (1993), no. 2, 137--146. https://projecteuclid.org/euclid.em/1048516218


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