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April 2004 On the rank of the elliptic curve $y^2 = x^3 + kx$. II
Shoichi Kihara
Proc. Japan Acad. Ser. A Math. Sci. 80(4): 24-25 (April 2004). DOI: 10.3792/pjaa.80.24

Abstract

We construct an elliptic curve of the form $y^2 = x^3 + kx$ with rank at least 6 over $Q(x_1, x_2, x_3)$.

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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

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Vol.80 • No. 4 • April 2004
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