A sensor element, in particular for detection of a physical property of a gas, in particular for detection of the concentration of a gas component or of the temperature or of a solid constituent or of a liquid constituent of an exhaust gas of an internal combustion engine, the sensor element including, a solid electrolyte film and including, located oppositely from one another in its longitudinal direction, first and second end regiona, the sensor element including outside the second end region, in particular in the first end region, a functional element electrically conductively connected to a contact surface disposed in the second end region on the outer surface of the sensor element, the contact surface having a rounding, which is a radius, on its side facing away from the first end region. The contact surfaces each include three sub-regions: head region, neck region, and body region.