On the isomorphism classes of Legendre elliptic curves over finite fields

2010/01/17 by Rongquan Feng, Hongfeng Wu, Feng, Rongquan +1
Mathematics · #11G05 #11T06 #14H52 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11G05 #msc:11T06 #msc:14H52

paper · pdf · doi:10.48550/arxiv.1001.2871

8 pages;

Abstract

In this paper the number of \mathbbF_q-isomorphism classes of Legendre elliptic curves over the finite fields \mathbbF_q is enumerated.

Related

• Isomorphism classes of Doche-Icart-Kohel Curves over finite fields
• Legendre elliptic curves over finite fields
• On the Number of Distinct Legendre, Jacobi and Hessian Curves
• Number of general Jacobi quartic curves over finite fields
• Elliptic curves maximal over extensions of finite base fields