  We describe a method for doing computations with Orlov's equivalence between
the bounded derived category of certain hypersurfaces and the stable category
of graded matrix factorisations of the polynomials describing these
hypersurfaces. In the case of a smooth elliptic curve over an algebraically
closed field we describe the indecomposable graded matrix factorisations of
rank one. Since every indecomposable Maximal Cohen-Macaulay module over the
completion of a smooth cubic curve is gradable, we obtain explicit descriptions
of all indecomposable rank one matrix factorisations of such potentials.
Finally, we explain how to compute all indecomposable matrix factorisations of
higher rank with the help of a computer algebra system.
