Construction of elliptic curves with large rank
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- by Thomas J. Kretschmer PDF
- Math. Comp. 46 (1986), 627-635 Request permission
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.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Math. Comp. 46 (1986), 627-635
- MSC: Primary 11G05; Secondary 14G25
- DOI: https://doi.org/10.1090/S0025-5718-1986-0829634-8
- MathSciNet review: 829634