Elliptic Curves

A donut shape object, a arrow pointing to two directions, and a circle filled with different colors and patterns.

A visualization of the Modularity theorem, which states that elliptic curves (left) and modular forms (right) are related via their L-functions (center). (Image courtesy of Dr. Andrew Sutherland.)


MIT Course Number

18.783 / 18.7831

As Taught In

Spring 2021


Undergraduate / Graduate

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Course Description

Course Features

Educator Features

Course Description

This course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography. While this is an introductory course, we will (gently) work our way up to some fairly advanced material, including an overview of the proof of Fermat's last theorem. 

Related Content

Andrew Sutherland. 18.783 Elliptic Curves. Spring 2021. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

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