Courbes elliptiques et groupes de classes d'idéaux de certaines corps quadratiques.

DOI10.1515/crll.1983.343.23zbMath0502.12004OpenAlexW58611128MaRDI QIDQ3967618

Jean-François Mestre

Publication date: 1983

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002200597

zbMATH Keywords

elliptic curvesideal class groupconstruction of quadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Elliptic curves (14H52) Iwasawa theory (11R23)

Related Items (15)

Class numbers of quadratic extensions of algebraic number fields ⋮ On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves ⋮ Polynômes à groupe de Galois diédral ⋮ On the class numbers of certain number fields obtained from points on elliptic curves. II ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ An explicit family of cubic number fields with large 2-rank of the class group ⋮ An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five ⋮ Construction of hyperelliptic function fields of high three-rank ⋮ Real quadratic fields with class number divisible by 5 or 7 ⋮ On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms ⋮ On \(D_5\)-polynomials with integer coefficients ⋮ Odd degree polynomials with dihedral Galois groups ⋮ About the 7-torsion modules of points of a family of elliptic curves ⋮ A new family of imaginary quadratic fields whose class number is divisible by five ⋮ Quadratic fields with noncyclic 5- or 7-class groups

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