Parallel resonant circuit problem
Here is a brief run down of the formula that apply to RLC tuned circuits: -



Shown above are: -


Series RLC
Parallel RLC
L and R in series, C in parallel
R and C in parallel, L in series


For the first two examples you can calculate \$\omega_0\$ but for the last two examples you need to know the loss and this is due to R. However, the lossless value of \$\omega_0\$ is a reasonable approximation.

For all examples, the 3dB bandwidth of the filter can only be calculated knowing what R is.

Information taken from here.