What does this LC circuit do
Is this a homework question? If so, here are some hints to get you going:

Divide the circuit into three branches at the top-center node. The left and right branches each comprise a series combination of L and C. The bottom branch comprises a parallel combination of L and C.

What do you know about the impedance characteristics of series L-C circuits and parallel L-C circuits? What does that imply about the transfer characteristics of the circuit as a whole, at resonance, and off-resonance?