Explicit-Formulas Database

Doubling-oriented Doche/Icart/Kohel curves
Edwards curves
Extended Jacobi-quartic coordinates
Hessian curves
Inverted Edwards coordinates
Jacobi intersections
Jacobi quartics
Jacobian coordinates
Projective coordinates
Tripling-oriented Doche/Icart/Kohel curves
Weierstrass curves
This is joint work by Daniel J. Bernstein and Tanja Lange, building on work by many authors.

New paper on the EFD: "Analysis and optimization of elliptic-curve single-scalar multiplication", to appear in the proceedings of Fq8.

See also the zoo pictures.

Sneak preview: A new version of EFD is in preparation, with more coordinate systems, more formulas, fully automated formula verification, and fully automated operation counts.