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 |
|---|---|
| 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) |
| URL: | |
| الإتاحة: | Open access content. Open access content LICENCIA DE USO: Los documentos a texto completo incluidos en Dialnet son de acceso libre y propiedad de sus autores y/o editores. Por tanto, cualquier acto de reproducción, distribución, comunicación pública y/o transformación total o parcial requiere el consentimiento expreso y escrito de aquéllos. Cualquier enlace al texto completo de estos documentos deberá hacerse a través de la URL oficial de éstos en Dialnet. Más información: https://dialnet.unirioja.es/info/derechosOAI | INTELLECTUAL PROPERTY RIGHTS STATEMENT: Full text documents hosted by Dialnet are protected by copyright and/or related rights. This digital object is accessible without charge, but its use is subject to the licensing conditions set by its authors or editors. Unless expressly stated otherwise in the licensing conditions, you are free to linking, browsing, printing and making a copy for your own personal purposes. All other acts of reproduction and communication to the public are subject to the licensing conditions expressed by editors and authors and require consent from them. Any link to this document should be made using its official URL in Dialnet. More info: https://dialnet.unirioja.es/info/derechosOAI |
| 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 |
| الوصف غير متاح. |