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Congruent Number Elliptic Curves with Rank at Least Three

Published online by Cambridge University Press:  20 November 2018

Jennifer A. Johnstone  and
Blair K. Spearman
Jennifer A. Johnstone
Affiliation:
Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC e-mail: [email protected] e-mail: [email protected]
Blair K. Spearman
Affiliation:
Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC e-mail: [email protected] e-mail: [email protected]
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Abstract

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We give an infinite family of congruent number elliptic curves each with rank at least three.

Keywords

11G05congruent numberelliptic curverank
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 661 - 666
Copyright
Copyright © Canadian Mathematical Society 2010

References

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[3] Silverman, J. H. and Tate, J., Rational points on elliptic curves. Ungraduate Texts in Mathematics, Springer-Verlag, New York, 1992.Google Scholar