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I do not know if the transformation can be found, but the following works:
sage: D=polygen(QQ,'D')
sage: x,y=polygen(D.parent(),'x,y')
sage: Jacobian(8*D*y^2 - (x-2)*(x-1)*(x+1)*(x+2))
Elliptic Curve defined by y^2 = x^3 - 4672/3*D^2*x + 609280/27*D^3 over Univariate Polynomial Ring in D over Rational Field
