The measuring transducer comprises a measuring tube having an inlet-side tube end and an outlet-side tube end, a tube wall having a predetermined wall thickness and a lumen surrounded by the tube wall and extending between the first and second tube end, a support element, which with a support end is mechanically connected with the tube end and with a support end is mechanically connected with the tube end, as well as, laterally spaced from the measuring tube, a support element, which with a support end is mechanically connected with the support end and with a support end is mechanically connected with the support end. The measuring tube of the measuring transducer is adapted to guide a flowing medium in its lumen and during that to be caused to oscillate about a static resting position for producing Coriolis forces. The measuring transducer comprises an oscillation exciter as well as at least one oscillation sensor. The measuring transducer has a wanted mode having a resonant frequency, in which the measuring tube can execute wanted oscillations around its static resting position suitable for producing Coriolis forces and having a wanted frequency corresponding to the resonant frequency of the wanted mode. The oscillation exciter is, furthermore, adapted to excite the wanted oscillations of the measuring tube, and the oscillation sensor, of which one sensor component is placed externally on the measuring tube and one sensor component is placed on the support element, is adapted to register movements of the measuring tube relative to the support element and to convert such into an oscillatory signal representing oscillations of the measuring tube.