Bielliptic quotient modular curves with \(N\) square-free

DOI10.1016/j.jnt.2020.03.010zbMath1473.11130OpenAlexW3022707192MaRDI QIDQ784728

Josep González, Francesc Bars Cortina, Mohamed S. Kamel

Publication date: 3 August 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.03.010

zbMATH Keywords

modular curvesbielliptic curvesAtkin-Lehner involutionsquadratic points

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (2)

Bielliptic quotient modular curves of 𝑋₀(𝑁) ⋮ Modular curves with infinitely many quartic points

Cites Work

• Endomorphisms of semi-stable Abelian varieties over number fields
• Rational and elliptic parametrizations of \(\mathbb Q\)-curves
• Bielliptic modular curves
• Hyperelliptic quotients of modular curves \(X_0(N)\)
• Bielliptic modular curves \(X_0^+(N)\)
• Table of quotient curves of modular curves \(X_ 0(N)\) with genus 2
• Bielliptic modular curves \(X_0^\ast(N)\)
• Bielliptic intermediate modular curves
• Hyperelliptic modular curves X₀*(N) with square-free levels
• Bielliptic Curves and Symmetric Products
• Finiteness results for modular curves of genus at least 2
• A NOTE ON INVOLUTORY WEIL CURVES
• On quadratic points of classical modular curves
• Bielliptic modular curves $X_0^*(N)$ with square-free levels
• Hyperelliptic modular curves

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