Date of Award
8-2018
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
Committee Member
Dr. Kevin James, Committee Chair
Committee Member
Dr. William Bridges
Committee Member
Dr. Hui Xue
Abstract
For a fixed non-singular elliptic curve E given by y2 + axy + cy = x3 + bx2 + dx + e, the frequency of extremal primes for E up to a given X value is of interest, where an extremal prime p is a prime for which the order of E defined over Fp is a maximum or minimum with respect to Hasse’s Theorem. For CM elliptic curves this distribution is known to not be curve dependent, and in this paper some preliminary work on determining the distribution of such primes for the non -CM case is presented.
Recommended Citation
Hahn, Alan R., "Some data collection and analysis of the distribution of Champion Primes for non-CM Elliptic Curves" (2018). All Theses. 2939.
https://open.clemson.edu/all_theses/2939