A fluid line includes a pipe, a connector having a pipe connection arranged at one end of the pipe, and a through-channel through the connector, wherein the pipe connection surrounds a portion of the through-channel, and a heater structured and arranged within the pipe and the connector to heat at least a portion of the pipe and at least a portion of the connector. A flow cross section of the through-channel section at least on a part of its length is no more than 60% of a flow cross section of the pipe.