Construction of high-rank elliptic curves with a non-trivial rational point of order 2

DOI10.3792/PJAA.73.165zbMath0906.11026OpenAlexW1995287332MaRDI QIDQ1387870

Shoichi Kihara

Publication date: 16 February 1999

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.73.165

zbMATH Keywords

high rank elliptic curvesnontrivial rational point of order two

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (3)

On an elliptic curve over \({\mathbb{Q}}(t)\) of rank \(\geq 9\) with a non-trivial 2-torsion point ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ Modular curves over number fields and ECM

Cites Work

• Construction of high-rank elliptic curves with a nontrivial torsion point
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