Experimental Mathematics

2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves

Nicholas M. Katz

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.

Article information

Source
Experiment. Math., Volume 19, Issue 3 (2010), 267-277.

Dates
First available in Project Euclid: 4 October 2011