Exploring the elliptic curve used in Monero for digital signatures. Making explicit some things that are often left implicit.

The elliptic curves Ed25519 and Curve25519 are both used in cryptography, and are equivalent in one sense and not in another.

Several elliptic curves which Zcash uses in zero knowledge proofs are named after characters from Lewis Carroll: Jubjub, Bandersnatch, Tweddledee, Tweedledum

Two elliptic curves used in Zcash for zero-knowledge proofs, one named after a Greek goddess of war and one after a Roman goddess of home and hearth

Cycles of ellptic curves have the property that the number of points on one curve equals the field size of the next curve.

Plotting the points on an elliptic curve over a finite field can be very misleading.

The Tiny Jubjub curve is an elliiptic curve designed to be similar to other Jubjub curves, but small enough for hand calculations.

Converting elliptic curves between Weierstrass, Montgomery, and twisted Edwards form. Using Baby Jubjub and Tiny Jubjub as examples.