Singular values of some modular functions and their applications to class fields
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Publication:954796
DOI10.1007/s11139-007-9093-xzbMath1183.11022OpenAlexW1976405253MaRDI QIDQ954796
Publication date: 18 November 2008
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-007-9093-x
Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Class field theory (11R37)
Related Items (3)
Affine models of the modular curves \(X(p)\) and its application ⋮ Ray class fields generated by torsion points of certain elliptic curves ⋮ More on super-replication formulae. II
Cites Work
- The equation for the modular curve \(X_1(N)\) derived from the equation for the modular curve \(X(N)\)
- The equations for modular function fields of principal congruence subgroups of prime level
- Arithmetic of the modular function \(j_{1,8}\)
- Arithmetic of the modular function $j_{1,4}$
- Generation of class fields by the modular function $j_{1,12}$
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