Abstract
We construct an elliptic curve of the form $y^2 = x^3 + kx$ with rank at least 6 over $Q(x_1, x_2, x_3)$.
Citation
Shoichi Kihara. "On the rank of the elliptic curve $y^2 = x^3 + kx$. II." Proc. Japan Acad. Ser. A Math. Sci. 80 (4) 24 - 25, April 2004. https://doi.org/10.3792/pjaa.80.24
Information
Published: April 2004
First available in Project Euclid: 18 May 2005
zbMATH: 1050.11057
MathSciNet: MR2055071
Digital Object Identifier: 10.3792/pjaa.80.24
Subjects:
Primary:
11G05
Keywords:
Elliptic curve
,
rank
Rights: Copyright © 2004 The Japan Academy
