Elliptic Curves

18.783 · Mathematics · Undergraduate · Fall 2025

Andrew V. Sutherland

MIT · Tier 1

This course offers a computationally focused introduction to elliptic curves, emphasizing their deep connections to number theory and cryptography. Core topics include point-counting, isogenies, pairings, and the theory of complex multiplication. Throughout the course, these concepts are applied to practical problems such as integer factorization, primality proving, and elliptic curve cryptography.

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The syllabus, on MIT OpenCourseWare

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Attribution

Andrew V. Sutherland. 18.783 Elliptic Curves. Fall 2025. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.

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