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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Construction of elliptic curves with large rank

Author: Thomas J. Kretschmer
Journal: Math. Comp. 46 (1986), 627-635
MSC: Primary 11G05; Secondary 14G25
MathSciNet review: 829634
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Abstract: We describe an algorithm for finding elliptic curves over Q with large rank and nontrivial torsion group. In particular, an example of a curve of rank exactly 10 with a point of order 2 is given. This method seems to suggest that the rank may be large independently of the torsion group.

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Article copyright: © Copyright 1986 American Mathematical Society

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