Modular equations of hyperelliptic X₀(N) and an application
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Publication:4369675
DOI10.4064/aa-82-3-279-291zbMath0894.11019OpenAlexW1596034273MaRDI QIDQ4369675
Noaki Murabayashi, Takeshi Hibino
Publication date: 8 January 1998
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/207092
hyperelliptic involutionmodular invariantnumber of \(\mathbb{Q}\)-rational pointscomputation of rational polynomialshyperelliptic modular curve
Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Holomorphic modular forms of integral weight (11F11) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]
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\(\mathbb{Q}\)-curves over quadratic fields, Rational points on \(X_0^+(p^r)\), 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, Rational points on \(X^{+}_0(37M)\), Defining equations of \(X_{0}(2^{2n})\)
