From: Tobias Nipkow <nipkow@in.tum.de>
Group Law of Edwards Elliptic Curves
Rodrigo Raya
This article gives an elementary computational proof of the group law for
Edwards elliptic curves. The associative law is expressed as a polynomial
identity over the integers that is directly checked by polynomial division.
Unlike other proofs, no preliminaries such as intersection numbers, B́ezout’s
theorem, projective geometry, divisors, or Riemann Roch are required.
https://www.isa-afp.org/entries/Edwards_Elliptic_Curves_Group.html
Enjoy!
Last updated: Jan 11 2026 at 16:28 UTC