The student pilot was conducting his first solo flight and had performed two uneventful stop-and-go landings. As the airplane accelerated during the third takeoff, it began to veer to the left. The student pilot applied right rudder; however, the airplane contacted a snow bank located off the left side of the runway and nosed over, substantially damaging the airplane. The student pilot stated that the winds were calm and the ailerons were in a neutral position during the takeoff. He did not report any mechanical failures or malfunctions of the airplane.