Band stop filter RLC circuit frequency response
It's a low pass filter. At DC the inductor acts like a short circuit and the capacitor acts like an open circuit. Therefore it lets DC pass. This rules it out as being a band-stop filter.
At high frequencies the inductor blocks input signals producing much output signal and the capacitor shunts high frequencies hence, it is a low pass filter: -

Link to LPF calculator.
It can produce a resonance around the natural frequency of the circuit but, it's still a low pass filter.