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 \(X_ 1(13))\)

DOI10.1016/0022-314X(89)90051-6zbMath0664.12004OpenAlexW2089099946MaRDI QIDQ1115478

Odile Lecacheux

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90051-6

zbMATH Keywords

unit groupmodular curvemodular units\(X_ 1(13)\)sextic extension

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Modular and automorphic functions (11F03) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52)

Related Items (6)

Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points ⋮ HT90 and ``simplest number fields ⋮ 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 ⋮ Defining equations of modular curves ⋮ Units of a family of fields related to the curve \(X_ 1(25)\).

Cites Work

• Unnamed Item
• The determination of units in real cyclic sextic fields
• Points rationnels de la courbe modulaire \(X_0(169)\)
• Corps euclidiens, unites exceptionnelles et courbes elliptiques
• Units in the modular function field. I. - II: A full set of units. - III: Distribution relations

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