There are three levels of charging sources. Level 1 (L!) is the various types of AC source outlets that you would use the Mobile Connector to supply power to the on-board charger in the car. These provide from 15 to 60 amps of power. The Mobile Connector only can provide 40 amps of power. These sources provide from 6 to 48 km of range per hour of charging.
Level 2 (L2) is also an AC source, but is specifically designed to provide power for on-board chargers in EVs. These are typically either J1772 sources or the Tesla Wall Connector. They provide 20 to 100 amps, typically, although there is a limit to how much of that power the Tesla on-board charger can use, depending on the age of the car and if optional on-board charging was paid for when purchasing the car. You have an adapter for using these sources included with the car. Often these sources require that you register with a charging network to pay for the charging, but frequently they are provided by businesses as an incentive for patronage.
Level 3 (L3) chargers provide DC directly to the car's charging system, bypassing the on-board charger. Tesla's Superchargers are in this category, as well as CHAdeMO and CCS chargers. There is an adapter for the Tesla to use the CHAdeMO chargers, although it is an investment. The car controls how much current the batteries are safely able to take in, but Superchargers can start off charging in excess of 480 km per hour of charging. CHAdeMO chargers typically provide around 160 kph.