Equations of Bielliptic Modular Curves

2012/07/09 by Josep González, González, Josep
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1207.2009

openalex publication_date 2012/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a procedure to determine equations for the modular curves X₀(N) which are bielliptic and equations for the 30 values of N such that X₀(N) is bielliptic and nonhyperelliptic are presented.

Related

• Bielliptic and Hyperelliptic modular curves X(N) and the group Aut(X(N))
• Bielliptic modular curves X₀^*(N) with square-free levels
• Quadratic points on bielliptic modular curves
• Hyperelliptic parametrizations of ℚ-curves
• Computing Galois representations and equations for modular curves X_H(ℓ)