Elliptic Curves

A solid line with three dots, a dashed line with on dot, and a solid red line connecting the dots in a curved fashion.

Elliptic curves are algebraic curves with the remarkable property that the set of points on the curve can be given the structure of an abelian group. This basic fact has a wide range of interesting applications in number theory and cryptography. (Image by Andrew Sutherland.)


MIT Course Number


As Taught In

Spring 2013



Cite This Course

Course Features

Course Description

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Andrew Sutherland. 18.783 Elliptic Curves, Spring 2013. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed). License: Creative Commons BY-NC-SA

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