Elliptic curve

id: elliptic-curve-188-728236
title: Elliptic curve
text: In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point O. An elliptic curve is defined over a field K and describes points in K⁲, the Cartesian product of K with itself. If the field's characteristic is different from 2 and 3, then the curve can be described as a plane algebraic curve which consists of solutions for: - y 2 = x 3 + a x + b for some coefficients a and b in K. The curve is required to be non-singular, which mea
brand slug: wiki
category slug: encyclopedia
description: Algebraic curve
original url: https://en.wikipedia.org/wiki/Elliptic_curve
date created: 2001-12-08T21:23:48Z
date modified: 2024-09-08T16:40:37Z
main entity: {"identifier":"Q268493","url":"https://www.wikidata.org/entity/Q268493"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/db/EllipticCurveCatalog.svg","width":533,"height":515}
fields total: 13
integrity: 16

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