Security, Math, Cryptography.
Poincaré stated the following theorem: Let 𝔽 be a field and E an elliptic curve. Let E(𝔽) the set of points of E with coordinates in 𝔽. Then E(𝔽) is a subgroup of the group of all points of E. But remember a finite field 𝔽q have a limited number of elements. So the curve cannot contain more than