Trigonal quotients of modular curves \(X_{0}(N)\).

DOI10.3792/pjaa.82.15zbMath1115.11031OpenAlexW1991043730MaRDI QIDQ863748

Mahoro Shimura, Yuji Hasegawa

Publication date: 7 February 2007

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1141279058

zbMATH Keywords

modular curvetrigonal curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items

Bielliptic quotient modular curves of 𝑋₀(𝑁), A canonical curve of genus 17

Cites Work

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• Trigonal modular curves \(X_0^*(N)\)
• Defining equations of modular curves \(X_ 0(N)\)
• Trigonal modular curves \(X_0^{+d}(N)\)
• Hecke operators on \(\Gamma_0(m)\)
• Conjugacy, genus, and class numbers
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Hyperelliptic modular curves X₀*(N) with square-free levels
• Trigonal modular curves
• Hyperelliptic modular curves $X*_0(N)$
• Hyperelliptic modular curves