Affine models of the modular curves \(X(p)\) and its application

DOI10.1007/s11139-010-9240-7zbMath1231.11067OpenAlexW2461153012MaRDI QIDQ631502

Nam Min Kim, Bumkyu Cho, Ja Kyung Koo

Publication date: 14 March 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9240-7

zbMATH Keywords

imaginary quadratic fieldmodular curveaffine moduleray class field

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Arithmetic aspects of modular and Shimura varieties (11G18) Class field theory (11R37)

Related Items (5)

On some arithmetic properties of Siegel functions ⋮ On the coefficients of certain family of modular equations ⋮ Hilbert's irreducibility, modular forms, and computation of certain Galois groups ⋮ Modularity of a certain continued fraction of Ramanujan ⋮ On primitive elements of algebraic function fields and models of \(X_0(N)\)

Cites Work

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• Singular values of some modular functions and their applications to class fields
• Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction
• Class invariants by Shimura's reciprocity law
• The equations for modular function fields of principal congruence subgroups of prime level
• Uniformizations of modular curves
• Some applications of Kronecker's limit formulas
• CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS

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