The modular equations of norm 3 for

Systems of modular equations of norm 2 for and have been calculated previously, in the latter case with the help of a computer algebra system. The increase in available computer power makes feasible the calculation of systems of modular equations corresponding to higher norms. The case of norm 3 for is calculated here using a computer algebra system called PUNIMAX on a PCs LINUX partition. The resulting equations will be useful in further studies of singular moduli and representations by quadratic forms.