As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING CLIMB OUT NR 1 ENGINE FLAMED OUT. THE CREW ACCOMPLISHED FLAME OUT IN FLIGHT START CHECKLIST. THE NR 1 ENGINE STARTED ALL PARAMETER NORMAL. CREW LANDED WITHOUT FURTHER INCIDENT. MX PERFORMED TROUBLESHOOTING FAULT 51 AND REPLACED ENGINE FUEL FILTER. OPS CHECK GOOD IAW MM 71-00-00, 73-11-10, ERH 70.01, 91.01. ACFT WAS RETURNED TO SERVICE.