Defining equations of \(X_{0}(2^{2n})\)

zbMath1210.11069arXivmath/0702401MaRDI QIDQ1012048

Fang-Ting Tu, Yifan Yang

Publication date: 14 April 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702401

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Modular and automorphic functions (11F03) Arithmetic aspects of modular and Shimura varieties (11G18) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (1)

Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic

Cites Work

• Equations of hyperelliptic modular curves
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• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
• Generators and equations for modular function fields of principal congruence subgroups
• A parametric model for heterogeneity in paired Poisson counts
• Modular equations of hyperelliptic X₀(N) and an application
• TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
• Construction and Application of a Class of Modular Functions (II)†
• Über die Automorphismengruppe von \(X_0(N)\)
• Hyperelliptic modular curves
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