David E. Penney
University of Georgia
5 Papers
22 Citations
David E. Penney is an academic researcher from University of Georgia. The author has contributed to research in topics: Hessian form of an elliptic curve & Schoof's algorithm. The author has an hindex of 3, co-authored 5 publications.
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Papers
Three elliptic curves with rank at least seven
David E. Penney,Carl Pomerance +1 more
TL;DR: In this article, three rational elliptic curves whose ranks are at least 7 are exhibited and the arithmetical details are given for one of the curves, namely y2 = x3 + 1692602x2 530052723915x.
A Search for Elliptic Curves With Large Rank
David E. Penney,Carl Pomerance +1 more
TL;DR: In this paper, a search procedure for finding elliptic curves with rational coefficients for which the group of rational points has large rank is described, where the rank of such a curve is defined to be the number of free generators of this group.
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On a class of relatively prime sequences
TL;DR: In this paper, it was shown that the true order of magnitude of g(n) − n seems to be connected with the fine distribution of prime numbers, and that the largest ai(n), not a prime or the square of a prime, are products of two distinct primes.
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