gz3+hz2w+jzw2+kw3+mz2+pzw+qw2+rz+sw+t=0
The plane is skewed, rotated, and translated by a linear transformation.
[zw]zw=[αγβδ][xy]+[ζη]=αx+βy+ζ=γx+δy+η
Substitute αx+βy+ζ and γx+δy+η for z and w in the general equation, simplify by collecting like terms in respective powers of x and y, and solve for α, β, γ, δ, ζ, η, a and b so that
y2=x3+ax+b.
