A search for elliptic curves with large rank
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- by David E. Penney and Carl Pomerance PDF
- Math. Comp. 28 (1974), 851-853 Request permission
Abstract:
A search procedure is described for finding elliptic curves with rational coefficients for which the group of rational points has large rank. Specific examples are given of elliptic curves with rank $\geqq 6$.References
- André Néron, Problèmes arithmétiques et géométriques rattachés à la notion de rang d’une courbe algébrique dans un corps, Bull. Soc. Math. France 80 (1952), 101–166 (French). MR 56951 J. Tate, Rational Points on Elliptic Curves, Philips Lectures, Haverford College, 1961.
- A. Wiman, Über rationale Punkte auf Kurven dritter Ordnung vom Geschlechte Eins, Acta Math. 80 (1948), 223–257 (German). MR 28603, DOI 10.1007/BF02393650
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 851-853
- MSC: Primary 14G25; Secondary 10B10, 14G05
- DOI: https://doi.org/10.1090/S0025-5718-1974-0376686-X
- MathSciNet review: 0376686