On the rank of the elliptic curves with a rational point of order 4. II

DOI10.3792/PJAA.80.158zbMath1073.11038OpenAlexW4251851003MaRDI QIDQ1769624

Shoichi Kihara

Publication date: 4 April 2005

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.80.158

zbMATH Keywords

elliptic curvesMordell-Weil rank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Global ground fields in algebraic geometry (14G25)

Related Items (4)

An elliptic curve over Q(u) with torsion Z/4Z and rank 6 ⋮ The rank and generators of Kihara's elliptic curve with torsion \(\mathbb Z /4\mathbb Z \) over \(\mathbb Q (t)\) ⋮ Construction of high rank elliptic curves ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves

Cites Work

• On the rank of the elliptic curves with a rational point of order 4
• On the rank of elliptic curves with three rational points of order 2. III
• Unnamed Item

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