## Experimental Mathematics

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

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

#### 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

**Permanent link to this document**

https://projecteuclid.org/euclid.em/1317758091

**Mathematical Reviews number (MathSciNet)**

MR2743570

**Zentralblatt MATH identifier**

1295.14026

**Keywords**

Elliptic curve finite field trace of Frobenius canonical lifting

#### Citation

Katz, Nicholas M. 2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves. Experiment. Math. 19 (2010), no. 3, 267--277. https://projecteuclid.org/euclid.em/1317758091