Hyperelliptic quotients of modular curves \(X_0(N)\)

DOI10.3836/tjm/1270041616zbMath0947.11019OpenAlexW2022446041MaRDI QIDQ1304935

Masahiro Furumoto, Yuji Hasegawa

Publication date: 10 May 2000

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

Full work available at URL: https://doi.org/10.3836/tjm/1270041616

zbMATH Keywords

modular formhyperellipticmodular curveAtkin-Lehner involution

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Holomorphic modular forms of integral weight (11F11)

Related Items (17)

Modular curves of genus 2 ⋮ Supersingular elliptic curves and moonshine ⋮ Bielliptic quotient modular curves of 𝑋₀(𝑁) ⋮ Trigonal quotients of modular curves \(X_{0}(N)\). ⋮ Bielliptic modular curves \(X_0^+(N)\) ⋮ Modular curves with infinitely many quartic points ⋮ Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6 ⋮ Gonality of the modular curve 𝑋₀(𝑁) ⋮ On smooth plane models for modular curves of Shimura type ⋮ Trigonal modular curves \(X_0^{+d}(N)\) ⋮ Non-hyperelliptic modular curves of genus 3 ⋮ On rational torsion points of central \(\mathbb Q\)-curves ⋮ Bielliptic modular curves $X_0^*(N)$ with square-free levels ⋮ The modularity of elliptic curves over all but finitely many totally real fields of degree 5 ⋮ Bielliptic quotient modular curves with \(N\) square-free ⋮ Generalized class polynomials ⋮ Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$

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