The automorphism group of the modular curve $X_0^*(N)$ with square-free level

DOI10.1090/tran/8391OpenAlexW3130179722MaRDI QIDQ5004552

Josep González, Francesc Bars Cortina

Publication date: 2 August 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03998

zbMATH Keywords

modular curvesAtkin-Lehner involutions

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Automorphisms of curves (14H37)

Related Items (3)

Modular curves with many points over finite fields ⋮ Automorphisms of Cartan modular curves of prime and composite level ⋮ Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6

Cites Work

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• Endomorphisms of semi-stable Abelian varieties over number fields
• Rational and elliptic parametrizations of \(\mathbb Q\)-curves
• Newforms and functional equations
• Automorphisms of \(X_0^*(p)\).
• Trigonal modular curves \(X_0^*(N)\)
• Bielliptic modular curves \(X_0^\ast(N)\)
• Constraints on the automorphism group of a curve
• Hyperelliptic modular curves X₀*(N) with square-free levels
• Automorphism group of split Cartan modular curves
• Finiteness results for modular curves of genus at least 2
• Hyperelliptic modular curves $X*_0(N)$
• Bielliptic modular curves $X_0^*(N)$ with square-free levels
• Normalizers of the congruence subgroups of the Hecke groups \(G_4\) and \(G_6\)
• Hyperelliptic modular curves

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