Proceedings of the Japan Academy, Series A, Mathematical Sciences

An example of elliptic curve over $\mathbf {Q}$ with rank equal to 15

Andrej Dujella

Full-text: Open access

Abstract

We construct an elliptic curve over $\mathbf{Q}$ with non-trivial 2-torsion point and rank exactly equal to 15.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 78, Number 7 (2002), 109-111.

Dates
First available in Project Euclid: 23 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.pja/1148392630

Digital Object Identifier
doi:10.3792/pjaa.78.109

Mathematical Reviews number (MathSciNet)
MR1930212

Zentralblatt MATH identifier
1040.11040

Subjects
Primary: 11G05: Elliptic curves over global fields [See also 14H52]

Keywords
Elliptic curve rank

Citation

Dujella, Andrej. An example of elliptic curve over $\mathbf {Q}$ with rank equal to 15. Proc. Japan Acad. Ser. A Math. Sci. 78 (2002), no. 7, 109--111. doi:10.3792/pjaa.78.109. https://projecteuclid.org/euclid.pja/1148392630


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