Table of quotient curves of modular curves \(X_ 0(N)\) with genus 2

DOI10.3792/pjaa.71.235zbMath0873.11040OpenAlexW2004401181MaRDI QIDQ1917594

Yuji Hasegawa

Publication date: 1 February 1997

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

Full work available at URL: https://doi.org/10.3792/pjaa.71.235

zbMATH Keywords

modular curvegenus 2

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) [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)] Modular and Shimura varieties (14G35)

Related Items (13)

GEOMETRIC QUADRATIC CHABAUTY ⋮ Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces ⋮ Bielliptic quotient modular curves of 𝑋₀(𝑁) ⋮ Bielliptic modular curves \(X_0^\ast(N)\) ⋮ Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves. ⋮ MODULARITY CONJECTURE FOR Q-CURVES AND QM-CURVES ⋮ Trigonal modular curves \(X_0^{+d}(N)\) ⋮ Computing Torsion Points on Curves ⋮ General form of Humbert's modular equation for curves with real multiplication of \(\Delta =5\) ⋮ Rational Points on X_O⁺(p) ⋮ Bielliptic modular curves $X_0^*(N)$ with square-free levels ⋮ Bielliptic quotient modular curves with \(N\) square-free ⋮ Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$

Cites Work

• An algorithm for computing modular forms on \(\Gamma_0(N)\)
• Hyperelliptic modular curves
• On normal forms of modular curves of genus 2
• Defining equations of modular curves \(X_ 0(N)\)
• Hecke operators on \(\Gamma_0(m)\)
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Hyperelliptic modular curves $X*_0(N)$
• Hyperelliptic modular curves

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