${{\boldsymbol \Omega}_{{c}}{(2770)}^{0}}$ $I(J^P)$ = $0(3/2^{+})$
The natural assignment is that this goes with the ${{\mathit \Sigma}_{{c}}{(2520)}}$ and ${{\mathit \Xi}_{{c}}{(2645)}}$ to complete the lowest mass $\mathit J{}^{P}$ = ${}^{}3/2{}^{+}$ SU(3) sextet, part of the SU(4) 20-plet that includes the ${{\mathit \Delta}{(1232)}}$. But $\mathit J$ and ${}^{P}$ have not been measured.