Elliptic Curve scalar multiplication

(ℝ)

Curve:

Field:

n:

P:

Q:

Q = n · P:

R = P + Q:

Point addition over the elliptic curve in ℝ.

Scalar multiplication over the elliptic curve in ℝ.

Warning: this curve is singular.

Scalar multiplication over the elliptic curve in 𝔽.

The curve has points (including the point at infinity).

The subgroup generated by P has points.

Warning: this curve is singular.

Warning: p is not a prime.

Point addition over the elliptic curve in 𝔽.

The curve has points (including the point at infinity).

Warning: this curve is singular.

Warning: p is not a prime.