THE GROUP STRUCTURE OF FREY ELLIPTIC CURVES OVER FINITE FIELDS Fp

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dc.contributor.authorIkikardes, Nazli Yildiz
dc.contributor.authorDemirci, Musa
dc.contributor.authorSoydan, Gokhan
dc.contributor.authorCanguel, Ismail Naci
dc.date.accessioned2025-07-03T21:27:11Z
dc.date.issued2008
dc.departmentBalıkesir Üniversitesi
dc.description.abstractFrey elliptic curves are the curves y(2) = x(3) - n(2)x and in this work the group structure E(F-p) of these curves over finite fields F-p is considered. This group structure and the number of points on these elliptic curves depend on the existence of elements of order 4. Therefore the cases where the group of the curves has such elements are determined. It is also shown that the number of such elements, if any, is either 4 or 12. Classification is made according to n is a quadratic residue or not.
dc.description.sponsorshipUludag University Research Fund [2004/40]
dc.description.sponsorshipThis paper is supported by the Uludag University Research Fund, Project No. 2004/40.
dc.identifier.endpage262
dc.identifier.issn0972-5555
dc.identifier.issue2
dc.identifier.scopusqualityN/A
dc.identifier.startpage255
dc.identifier.urihttps://hdl.handle.net/20.500.12462/22088
dc.identifier.volume10
dc.identifier.wosWOS:000421253700008
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPushpa Publishing House
dc.relation.ispartofJp Journal of Algebra Number Theory and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250703
dc.subjectElliptic curves over finite fields
dc.subjectrational points
dc.titleTHE GROUP STRUCTURE OF FREY ELLIPTIC CURVES OVER FINITE FIELDS Fp
dc.typeArticle

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