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

DOI10.3792/pjaa.80.26zbMath1050.11058OpenAlexW1971636528MaRDI QIDQ1884114

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.80.26

zbMATH Keywords

elliptic curverank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (4)

An elliptic curve over Q(u) with torsion Z/4Z and rank 6 ⋮ On the rank of the elliptic curves with a rational point of order 4. II ⋮ 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

Cites Work

• On the rank of the elliptic curve \(y^2= x^3+kx\)
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