Isomorphism classes of Doche-Icart-Kohel curves over finite fields

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• 作者：Reza Rezaeian Farashahi^a ; ^b ; ^{farashahi@cc.iut.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; Mehran Hosseini^a ; ^{mehran.hosseini@math.iut.ac.ir" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11G05 ; 11T06 ; 14H52
• 刊名：Finite Fields and Their Applications
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：39
• 期：Complete
• 页码：111-129
• 全文大小：363 K

文摘

We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in two families of curves introduced by C. Doche, T. Icart and D.R. Kohel.