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Elliptic curve - Wikipedia 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 K2, the Cartesian product of K with itself
18. 783 Elliptic Curves Lecture 1 - MIT Mathematics Definition (more precise) An elliptic curve (over a field k) is a smooth projective curve of genus 1 (defined over k) with a distinguished (k-rational) point Not every smooth projective curve of genus 1 corresponds to an elliptic curve, it needs to have at least one rational point!
Elliptic - definition of elliptic by The Free Dictionary Define elliptic elliptic synonyms, elliptic pronunciation, elliptic translation, English dictionary definition of elliptic or el·lip·ti·cal adj 1 Of, relating to, or having the shape of an ellipse