y^2+x*y=x^3+a2*x^2+a6Affine addition formulas: (x1,y1)+(x2,y2)=(x3,y3) where
x3 = ((y1+y2)/(x1+x2))^2+((y1+y2)/(x1+x2))+x1+x2+a2 y3 = ((y1+y2)/(x1+x2))^3+(x2+a2+1)*((y1+y2)/(x1+x2))+x1+x2+a2+y1Affine doubling formulas: 2(x1,y1)=(x3,y3) where
x3 = (x1+y1/x1)^2+(x1+y1/x1)+a2 y3 = (x1+y1/x1)^3+(x1+a2+1)*(x1+y1/x1)+a2+y1Affine negation formulas: -(x1,y1)=(x1,x1+y1).
x=X y=Y
Extended Lopez-Dahab coordinates with a2=0 [more information] make the additional assumptions
a2=0and represent x y as X Y Z ZZ XZ satisfying the following equations:
x=X/Z
y=Y/ZZ
ZZ=Z^2
XZ=X*Z
Extended Lopez-Dahab coordinates with a2=1 [more information] make the additional assumptions
a2=1and represent x y as X Y Z ZZ satisfying the following equations:
x=X/Z y=Y/Z^2 ZZ=Z^2
Jacobian coordinates [more information] represent x y as X Y Z satisfying the following equations:
x=X/Z^2 y=Y/Z^3
Lambda coordinates [more information] represent x y as X L Z satisfying the following equations:
x=X/Z y/x=(L-X)/Z
Lopez-Dahab coordinates with a2=0 [more information] make the additional assumptions
a2=0and represent x y as X Y Z satisfying the following equations:
x=X/Z
y=Y/Z^2
Lopez-Dahab coordinates with a2=1 [more information] make the additional assumptions
a2=1and represent x y as X Y Z satisfying the following equations:
x=X/Z
y=Y/Z^2
Lopez-Dahab coordinates [more information] represent x y as X Y Z satisfying the following equations:
x=X/Z
y=Y/Z^2
Projective coordinates [more information] represent x y as X Y Z satisfying the following equations:
x=X/Z y=Y/Z
XZ coordinates [more information] represent x y as X Z satisfying the following equations:
x=X/Z