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On the rank of elliptic curves with three rational points of order 2. III

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Publication:1884116
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DOI10.3792/pjaa.80.13zbMath1050.11059OpenAlexW2081227156MaRDI QIDQ1884116

Shoichi Kihara

Publication date: 25 October 2004

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.80.13


zbMATH Keywords

elliptic curverank


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)


Related Items (2)

On the rank of the elliptic curves with a rational point of order 4. II ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves




Cites Work

  • On the rank of elliptic curves with three rational points of order 2
  • On the rank of elliptic curves with three rational points of order 2. II
  • Courbes elliptiques de rang ≥ 5 sur Q(t) avec un groupe de torsion isomorphe à Z/2Z × Z/2Z
  • Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points




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