Bielliptic modular curves \(X_0^\ast(N)\)

DOI10.1016/j.jalgebra.2020.02.028zbMath1459.11140OpenAlexW3015754481MaRDI QIDQ2186050

Josep González, Francesc Bars Cortina

Publication date: 8 June 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.02.028

zbMATH Keywords

elliptic curvesmodular curveshyperelliptic curvesinvolutionsarithmetic geometrybielliptic curvesquadratic points

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Global ground fields in algebraic geometry (14G25)

Related Items (4)

Bielliptic quotient modular curves of 𝑋₀(𝑁) ⋮ Bielliptic quotient modular curves with \(N\) square-free ⋮ The automorphism group of the modular curve $X_0^*(N)$ with square-free level ⋮ Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$

Cites Work

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• Rational and elliptic parametrizations of \(\mathbb Q\)-curves
• Topics in the theory of Riemann surfaces
• Trigonal modular curves \(X_0^*(N)\)
• Bielliptic modular curves \(X_0^+(N)\)
• Table of quotient curves of modular curves \(X_ 0(N)\) with genus 2
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• Constraints on the automorphism group of a curve
• The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms
• Automorphism group of split Cartan modular curves
• Bielliptic Curves and Symmetric Products
• Finiteness results for modular curves of genus at least 2
• 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

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