Open Access
Translator Disclaimer
2010 2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves
Nicholas M. Katz
Experiment. Math. 19(3): 267-277 (2010).

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

Download 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.

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.19 • No. 3 • 2010
Back to Top