  We construct isospectral partner potentials of a complex PT-invariant
potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's
method. Oneset of isospectral potentials are obatined which can be termed
'Satellite potentials', in the sense that they are pf the same form as the
original potential. In a particular case, the supersymmetric partner potential
has the same spectrum, including the zero energy ground state, a fact which
cannot occur in conventional supersymmetric quantum mechanics with real
potential. An explicit example of a non-trivial set of isospectral potential is
also obtained.
