Where was Charlemagne's coronation?

Charlemagne was crowned king of the West Franks in Noyon France on October 9, 768.

He was crowned emperor on December 25, 800 AD in St. Peter's Basilica, in Rome, by Pope Leo III.

Charlemagne was crowned at least one other time, when he became King of the Lombards, probably in Pavia, in 774, though I do not see precise information on this. The information may well exist in sources I have not seen.