2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves
type: Item
instance of: scholarly article
title: 2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves
zbMATH Open document ID: 1295.14026
DOI: 10.1080/10586458.2010.10390623
author: Nicholas M. Katz
published in: Experimental Mathematics
publication date: 2012-08-31T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.em/1317758091
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 11G15
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14K22
zbMATH DE Number: 6074850
zbMATH Keywords: elliptic curve
zbMATH Keywords: finite field
zbMATH Keywords: trace of Frobenius
zbMATH Keywords: canonical lifting
MaRDI profile type: Publication
OpenAlex ID: W2032127771
cites work: Variétés abeliennes ordinaires sur un corps fini
cites work: Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
cites work: Isogeny classes of abelian varieties over finite fields
cites work: Lang–Trotter revisited
cites work: Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
cites work: Nonsingular plane cubic curves over finite fields
reviewed by: Andrew Obus
description: scientific article; zbMATH DE number 6074850