As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
LEFT MAIN GEAR CYLINDER, PN 65319-4, ATTACHMENT EARS FOR UPPER TORQUE LINK (PN 78033-00) BROKE OFF DURING LANDING OF STUDENT PILOT. POSSIBLE CAUSE WAS MANY SIDE LOADS IMPOSED BY STUDENTS DURING LANDINGS. NO RECOMMENDATION TO PREVENT RECURRENCE OTHER THAN NORMAL INSPECTION OF LANDING GEAR. PIPER SL 760 PERTAINS TO THIS SUBJECT. POSSIBILITY THAT AN AD SHOULD BE GENERATED.