Generators and defining equation of the modular function field of the group Γ1(N)

DOI10.4064/aa101-4-1zbMath1004.11036OpenAlexW2084671979MaRDI QIDQ2773337

Noburo Ishii, Nobuhiko Ishida

Publication date: 21 February 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa101-4-1

zbMATH Keywords

generatorsmodular curvealgebraic function field

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Arithmetic aspects of modular and Shimura varieties (11G18) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (9)

Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points ⋮ On a simple model of \(X_0(N)\) ⋮ Singular values of some modular functions ⋮ Special values of generalized \(\lambda\) functions at imaginary quadratic points ⋮ Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields ⋮ Defining equations of modular curves ⋮ Generalized lambda functions and modular function fields of principal congruence subgroups ⋮ Defining equations of \(X_{0}(2^{2n})\) ⋮ DEFINING EQUATIONS OF X₁(2N)

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