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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: johnstone33@hotmail.com e-mail: Blair.Spearman@ubc.ca
Blair K. Spearman
Affiliation:
Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC e-mail: johnstone33@hotmail.com e-mail: Blair.Spearman@ubc.ca
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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

[1] Chahal, J. S., Congruent numbers and elliptic curves. Amer. Math. Monthly 113(2006), no. 4, 308–317.Google Scholar
[2] Coates, J. H., Congruent number problem. Q. J. Pure Appl. Math. 1(2005), no. 1, 14–27.Google Scholar
[3] Silverman, J. H. and Tate, J., Rational points on elliptic curves. Ungraduate Texts in Mathematics, Springer-Verlag, New York, 1992.Google Scholar