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|q⟩ Bad Qubits

Multiple choice

Two angular momenta j1 and j2 are combined. Which set of four mutually commuting operators defines the COUPLED basis |j, m>?

J_{1x}, J_{1y}, J_{2x}, and J_{2y}
J1^2, J_{1z}, J2^2, and J_{2z} (each subsystem's squared and z-component)
J1^2, J2^2, J^2, and J_z (the total squared and the total z-component)
J1^2, J2^2, J_{1z}, and J^2