Units of a family of fields related to the curve \(X_ 1(25)\).

DOI10.5802/aif.1212zbMath0739.11023OpenAlexW2319862336MaRDI QIDQ1813220

Odile Lecacheux

Publication date: 25 June 1992

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_2_237_0

zbMATH Keywords

unit groupmodular unitsAbelian extensionsGaussian periodssimplest cubic fieldsfundamental system of unitscyclic extensions of degree threecyclic fields of degree 10

Mathematics Subject Classification ID

Units and factorization (11R27) Lattices and convex bodies (number-theoretic aspects) (11H06) Other abelian and metabelian extensions (11R20) Elliptic and modular units (11G16)

Related Items (4)

Class numbers of real cyclotomic fields of prime conductor ⋮ Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields ⋮ A Family of Cyclic Quartic Fields Arising from Modular Curves ⋮ Unit groups for complex dihedral extensions of degree 10 over \(\mathbb Q\)

Cites Work

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• Unités d'une famille de corps cycliques réels de degré 6 liés à la courbe modulaire \(X_ 1(13)\). (Units of a family of real cyclic fields of degree 6 related to the modular curve \(X_ 1(13))\)
• The Calculation of a Large Cubic Class Number with an Application to Real Cyclotomic Fields
• Note on a Polynomial of Emma Lehmer
• Quintic Polynomials and Real Cyclotomic Fields with Large Class Number
• Connection Between Gaussian Periods and Cyclic Units
• The Simplest Cubic Fields
• Universal Bounds on the Torsion of Elliptic Curves

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