مورد إلكتروني
Elliptic curves with j-invariant equals 0 or 1728 over a finite prime field
العنوان: | Elliptic curves with j-invariant equals 0 or 1728 over a finite prime field |
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المصدر: | Extracta mathematicae, ISSN 0213-8743, Vol. 6, Nº 2-3, 1991, pags. 145-147 |
بيانات النشر: | Universidad de Extremadura: Departamento de Matemáticas Universidad de Extremadura: Servicio de Publicaciones 1991 |
تفاصيل مُضافة: | Munuera Gómez, Carlos |
نوع الوثيقة: | Electronic Resource |
مستخلص: | Let p be a prime number, p ? 2,3 and Fp the finite field with p elements. An elliptic curve E over Fp is a projective nonsingular curve of genus 1 defined over Fp. Each one of these curves has an isomorphic model given by an (Weierstrass) equation E: y2 = x3 + Ax + B, A,B Î Fp with D = 4A3 + 27B2 ? 0. The j-invariant of E is defined by j(E) = 1728·4A3/D. The aim of this note is to establish some results concerning the cardinality of the group of points on elliptic curves over Fp with j-invariants equals to 0 or 1728, and the connection between these cardinalities and some expressions of sum of squares. |
مصطلحات الفهرس: | Teoría algebraica de números, Curvas elípticas, Campos finitos, Números primos, Invariantes, text (article) |
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ملاحظة: | application/pdf Extracta mathematicae, ISSN 0213-8743, Vol. 6, Nº 2-3, 1991, pags. 145-147 English |
أرقام أخرى: | S9M oai:dialnet.unirioja.es:ART0000162742 https://dialnet.unirioja.es/servlet/oaiart?codigo=118343 (Revista) ISSN 0213-8743 1364073560 |
المصدر المساهم: | UNIV COMPLUTENSE DE MADRID From OAIster®, provided by the OCLC Cooperative. |
رقم الأكسشن: | edsoai.on1364073560 |
قاعدة البيانات: | OAIster |
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