Abstract
For a given integer $A$ and various families of elliptic curves over finite fields, we compare the number of occurrences of $A$ with the number of occurrences of $-A$ as the trace of Frobenius in the family.
Citation
Nicholas M. Katz. "2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves." Experiment. Math. 19 (3) 267 - 277, 2010.
Information
Published: 2010
First available in Project Euclid: 4 October 2011
zbMATH: 1295.14026
MathSciNet: MR2743570
Keywords:
canonical lifting
,
Elliptic curve
,
finite field
,
trace of Frobenius
Rights: Copyright © 2010 A K Peters, Ltd.
