Elliptic Curve Point Calculator
Perform point operations on elliptic curves y^2 = x^3 + ax + b over finite fields.
Curve: y^2 = x^3 + ax + b (mod p)
Point P
Point Q
Scalar k
P + Q =
(3, 91)
P on curve?
Yes
Q on curve?
Yes
Operations
2P (doubling)
(80, 10)
2P (scalar mult)
(80, 10)
Curve Info
y^2 = x^3 + 2x + 3 (mod 97)
Discriminant: 81
Points found: ~100
Sample Curve Points
(0,10)(0,87)(1,43)(1,54)(3,6)(3,91)(4,47)(4,50)(10,21)(10,76)(11,17)(11,80)(12,3)(12,94)(17,10)(17,87)(20,34)(20,63)(21,24)(21,73)(22,5)(22,92)(23,24)(23,73)(24,2)(24,95)(25,35)(25,62)(27,7)(27,90)