Curves of genus 2 with a rational torsion divisor of order 23

DOI10.3792/pjaa.70.295zbMath0838.14021OpenAlexW2008852104MaRDI QIDQ1805029

Hiroyuki Ogawa

Publication date: 3 June 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.295

zbMATH Keywords

curve of genus 2torsion divisor of order 23

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

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On certain torsion subgroups of Jacobians of hyperelliptic curves of genus \(g \geq 1\) ⋮ Unnamed Item ⋮ Torsion and Tamagawa numbers ⋮ An infinite family of curves of genus 2 over the field of rational numbers whose Jacobian varieties contain rational points of order 28 ⋮ New orders of torsion points in Jacobians of curves of genus 2 over the rational number field ⋮ Genus-2 Jacobians with torsion points of large order ⋮ 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

Cites Work

• Sequences of rational torsions on abelian varieties
• Some results on the Mordell-Weil group of the Jacobian of the Fermat curve
• Large rational torsion on abelian varieties
• Arithmetic variety of moduli for genus two
• Torsion points on elliptic curves
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