On the Frequency of Finitely Anomalous Elliptic Curves

On the Frequency of Finitely Anomalous Elliptic Curves

Given an elliptic curve E over Q, we can then consider E over the finite field Fp. If Np is the number of points on the curve over Fp, then we define ap(E) = p+1-Np. We say primes p for which ap(E) = 1 are anomalous. In this paper, we search for curves E so that this happens for only a finite number...

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Bibliographic Details
Main Author: Ridgdill, Penny Catherine
Format: Others
Published: ScholarWorks@UMass Amherst 2010
Subjects:
Anomalous Primes
Elliptic Curve Cryptography
Elliptic Curves
Galois Representations
Number Theory
Mathematics
Statistics and Probability
Online Access:https://scholarworks.umass.edu/open_access_dissertations/238
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1218&context=open_access_dissertations

Internet

https://scholarworks.umass.edu/open_access_dissertations/238
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1218&context=open_access_dissertations

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