As you look on the Digi-Key website any crystal listed with a load capacitance is a Parallel Resonant Crystal. The Series Crystals have series listed as the load capacitance, it is also called out as series in the description.
See below link from ECS International. This pdf offers definitions and gives examples regarding series and parallel resonant crystals.
The use of either type depends on the design of their circuit, the whole circuit should be designed around the timing circuit.