I have defined in SAGE one Elliptic curve, two points: P and P_a and theree integers u1,u2 and n.
p=(10^34+1000).next_prime()
E=EllipticCurve(GF(p),[0,57]);
P= E(9128294291047160967288425267449898,3015386503039089432053383415473448)
P_a= E(4259903772238643554901244696272038,3809941931717614434052814194698091)
u1=32670546509638242125495495
u2=10120953885076574089031876
n=74226928212769886074449493
Q = Integer(u1)P+Integer(u2)P_a
v = mod(Q[0],n)
print v
Now i try to calculate the coordinates of a new point Q, and modular n of the first, called v.
Q = Integer(u1)P+Integer(u2)P_a
v = mod(Q[0],n]
The result that i obtained is 49823540439822066091848818, but desired is 2715371088067745779674921
Where is the mistake? I'm going crazy because i don't understand it.
Can you help me? Thank you very much.!!!!!!!
