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

DOI10.3792/PJAA.73.151zbMath0906.11025OpenAlexW2027337441MaRDI QIDQ1387923

Shoichi Kihara

Publication date: 7 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.73.151

zbMATH Keywords

Mordell-Weil groupelliptic curves over global fields\(\mathbb{Q}\)-rational 2-division subgroup

Mathematics Subject Classification ID

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

Related Items (5)

On the rank of elliptic curves with three rational points of order 2. III ⋮ Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ Irregular Diophantine \(m\)-tuples and elliptic curves of high rank ⋮ Modular curves over number fields and ECM

Cites Work

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• On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II
• On the rank of elliptic curves with three rational points of order 2

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