Bielliptic quotient modular curves of 𝑋₀(𝑁)

DOI10.1090/mcom/3800OpenAlexW4306793211MaRDI QIDQ5058660

Mohamed S. Kamel, Andreas Schweizer, Francesc Bars Cortina

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2208.10957

zbMATH Keywords

modular curveAtkin-Lehner involutionquadratic pointsbielliptic curve

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (1)

Modular curves with infinitely many quartic points

Uses Software

• Magma
• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Bi-elliptic Weierstrass points on curves of genus 5
• Bielliptic Drinfeld modular curves
• Bielliptic quotient modular curves with \(N\) square-free
• Trigonal quotients of modular curves \(X_{0}(N)\).
• Rational and elliptic parametrizations of \(\mathbb Q\)-curves
• Bielliptic modular curves
• Hyperelliptic quotients of modular curves \(X_0(N)\)
• Topics in the theory of Riemann surfaces
• The Magma algebra system. I: The user language
• 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
• Bielliptic Curves and Symmetric Products
• Finiteness results for modular curves of genus at least 2
• The Group Structure of the Normalizer of Γ₀(N) After Atkin–Lehner
• Hyperelliptic modular curves $X*_0(N)$
• On quadratic points of classical modular curves
• Bielliptic modular curves $X_0^*(N)$ with square-free levels
• Hyperelliptic modular curves

This page was built for publication: Bielliptic quotient modular curves of 𝑋₀(𝑁)