Examples of torsion points on genus two curves

DOI10.1090/S0002-9947-00-02368-0zbMath1007.11038OpenAlexW1550880859MaRDI QIDQ4501116

David Grant, John L. Boxall

Publication date: 3 September 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02368-0

zbMATH Keywords

elliptic curvescurves of genus twoGalois representationstorsion points

Mathematics Subject Classification ID

[https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Global ground fields in algebraic geometry (14G25)

Related Items

Torsion points of small order on hyperelliptic curves ⋮ Modular equations for hyperelliptic curves ⋮ Lower bound of the Néron-Tate height on abelian surfaces ⋮ Explicit homotheties of \(\ell\)-adic representations ⋮ Some remarks on almost rational torsion points ⋮ Torsion points of order 2𝑔+1 on odd degree hyperelliptic curves of genus 𝑔 ⋮ Torsion points on hyperelliptic Jacobians via Anderson's \(p\)-adic soliton theory ⋮ A tubular variant of Runge's method in all dimensions, with applications to integral points on Siegel modular varieties ⋮ The Bolza curve and some orbifold ball quotient surfaces ⋮ The cuspidal torsion packet on hyperelliptic Fermat quotients ⋮ 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 ⋮ Computing Torsion Points on Curves ⋮ Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve ⋮ Division by on odd-degree hyperelliptic curves and their Jacobians

Uses Software

• ecdata

Cites Work

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