sage code for Elliptic curve scalar multiplication

edit

Just do the multiplication:

sage: E = EllipticCurve(GF(144169),j=1728)
sage: P = E.random_element()
sage: P
(54486 : 126410 : 1)
sage: 3*P
(116984 : 134312 : 1)
sage: 3*P - P - P - P
(0 : 1 : 0)

Yes, if the values P (point) and scalar k are already defined, just do k*P Note: k can be either predefined, or just be any integer that you type in.