Equations of hyperelliptic modular curves

DOI10.5802/aif.1273zbMath0758.14010OpenAlexW2038876496MaRDI QIDQ1203359

Josep González Rovira

Publication date: 8 February 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_4_779_0

zbMATH Keywords

equations of hyperelliptic modular curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items

Modular curves of genus 2, The kernel of Ribet's isogeny for genus three Shimura curves, On elliptic Galois representations and genus-zero modular units, Courbes modulaires et 11-rang de corps quadratiques, Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields, Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves., A moduli approach to quadratic \(\mathbb{Q}\)-curves realizing projective mod \(p\) Galois representations, On the Hasse–Witt Invariants of Modular Curves, Non-hyperelliptic modular curves of genus 3, Rational torsion of \(J_0(N)\) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10, Defining equations of modular curves, Hyperelliptic Simple Factors of J₀(N) with Dimension at Least 3, Defining equations of \(X_{0}(2^{2n})\), Automorphisms of hyperelliptic modular curves X0(N) in positive characteristic, Rational and elliptic parametrizations of \(\mathbb Q\)-curves, Functions and differentials on the non-split Cartan modular curve of level 11, Rational points on twisted modular curves, Galois groups via Atkin-Lehner twists, Algebraic hypergeometric transformations of modular origin, Algorithms for Chow-Heegner points via iterated integrals

Cites Work

• Quelques aspects des surfaces de Riemann. (Some aspects of Riemann surfaces)
• On the Weierstrass points of \(X_0(N)\)
• Arithmetic of Weil curves
• Weierstraß points of \(\Gamma_ 0(n)\)
• Hecke operators on \(\Gamma_0(m)\)
• Construction and Application of a Class of Modular Functions†
• Construction and Application of a Class of Modular Functions (II)†
• Hyperelliptic modular curves
• Unnamed Item
• Unnamed Item
• Unnamed Item