As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AIRCRAFT WAS GROUNDED: AN EMERGENCY WAS DECLARED DUE TO: FLAMEOUT OF ENGINE NUMBER 1 AFTER LEVELING OFF AT FL370. THERE WAS NO OTHER INDICATIONS THAN A "ROLL BACK" OF N1 AND COMMAND SYSTEM-A DISCONNECTING. AIRCRAFT AIR INTERRUPTED BACK TO AND LANDED SAFELY AT LAS. REMOVED AND REPLACED NUMBER 1 ENGINE PER ENGINE CHANGE CARD 08L40072003. ALL FUNCTIONAL AND OPERATIONAL CHECK WERE GOOD.