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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Three elliptic curves with rank at least seven


Authors: David E. Penney and Carl Pomerance
Journal: Math. Comp. 29 (1975), 965-967
MSC: Primary 14G25; Secondary 10B10, 14G05
MathSciNet review: 0376687
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Abstract: Three rational elliptic curves whose ranks are at least 7 are exhibited. The arithmetical details are given for one of the curves, namely $ {y^2} = {x^3} + 1692602{x^2} - 530052723915x$ .


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0376687-2
PII: S 0025-5718(1975)0376687-2
Keywords: The rank of an elliptic curve
Article copyright: © Copyright 1975 American Mathematical Society