Open Access
Oct. 2004 On the rank of the elliptic curves with a rational point of order 4. II
Shoichi Kihara
Proc. Japan Acad. Ser. A Math. Sci. 80(8): 158-159 (Oct. 2004). DOI: 10.3792/pjaa.80.158

Abstract

We construct an elliptic curve with non-constant $j$-invariant of rank $\ge 5$ with a rational point of order 4 over $\mathcal{Q}(t)$.

Citation

Download Citation

Shoichi Kihara. "On the rank of the elliptic curves with a rational point of order 4. II." Proc. Japan Acad. Ser. A Math. Sci. 80 (8) 158 - 159, Oct. 2004. https://doi.org/10.3792/pjaa.80.158

Information

Published: Oct. 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1073.11038
MathSciNet: MR2099343
Digital Object Identifier: 10.3792/pjaa.80.158

Subjects:
Primary: 11G05

Keywords: Elliptic curve , ‎rank‎

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 8 • Oct. 2004
Back to Top