A cartridge of an e-vaping device includes a housing extending in a longitudinal direction, a reservoir in the housing, a heater in the housing, and an absorbent material at least partially surrounding the sinusoidal shaped member. The reservoir is configured to store a pre-vapor formulation. The heater has a sinusoidal shaped member translating about an elliptical shape to define a channel there through. The absorbent material is in fluid communication with the reservoir.