Montgomery.php
Curves over y^2 = x^3 + a*x + x
Technically, a Montgomery curve has a coefficient for y^2 but for Curve25519 and Curve448 that coefficient is 1.
Curve25519 and Curve448 do not make use of the y coordinate, which makes it unsuitable for use with ECDSA / EdDSA. A few other differences between Curve25519 and Ed25519 are discussed at https://crypto.stackexchange.com/a/43058/4520
More info:
https://en.wikipedia.org/wiki/Montgomery_curve
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- Curves over y^2 = x^3 + a*x + x