A magnetic-inductive flowmeter for insertion into a conduit through which a medium flows and for determining a flow-rate-dependent measured variable induced in the medium, comprising: - a housing, wherein a front body is arranged on an end face of the housing and seals the housing at the end face; - a measurement electrode arrangement for forming a galvanic contact with the medium and for tapping an induced voltage in the flowing medium; - a field system for generating a magnetic field passing through the end face of the housing, wherein the field system is arranged in the housing, wherein the field system comprises a coil arrangement, wherein the coil arrangement comprises a coil arrangement carrier for winding a coil wire around, wherein the coil arrangement has a contacting body arrangement, wherein the contacting body arrangement comprises a first contacting body and a second contacting body, wherein the coil arrangement carrier and the front body are formed monolithically in such a way that they form one body and there are no connection points, wherein a respective first portion of the first contacting body and of the second contacting body has a longitudinal axis which lies in a cross-sectional plane of the coil arrangement carrier, and wherein the first contacting body and the second contacting body in each case have a second portion which is connected form-fittingly to the coil arrangement carrier and is embedded in a polymer matrix forming the coil arrangement carrier, wherein a first coil wire end of the coil wire is connected to a first portion of the first contacting body, and wherein a second coil wire end of the coil wire is connected to a first portion of the second contacting body. - a housing, wherein a front body is arranged on an end face of the housing and seals the housing at the end face; - a measurement electrode arrangement for forming a galvanic contact with the medium and for tapping an induced voltage in the flowing medium; - a field system for generating a magnetic field passing through the end face of the housing, wherein the field system is arranged in the housing, wherein the field system comprises a coil arrangement, wherein the coil arrangement comprises a coil arrangement carrier for winding a coil wire around, wherein the coil arrangement has a contacting body arrangement, wherein the contacting body arrangement comprises a first contacting body and a second contacting body, wherein the coil arrangement carrier and the front body are formed monolithically in such a way that they form one body and there are no connection points, wherein a respective first portion of the first contacting body and of the second contacting body has a longitudinal axis which lies in a cross-sectional plane of the coil arrangement carrier, and wherein the first contacting body and the second contacting body in each case have a second portion which is connected form-fittingly to the coil arrangement carrier and is embedded in a polymer matrix forming the coil arrangement carrier, wherein a first coil wire end of the coil wire is connected to a first portion of the first contacting body, and wherein a second coil wire end of the coil wire is connected to a first portion of the second contacting body. wherein the field system is arranged in the housing, wherein the field system comprises a coil arrangement, wherein the coil arrangement comprises a coil arrangement carrier for winding a coil wire around, wherein the coil arrangement has a contacting body arrangement, wherein the contacting body arrangement comprises a first contacting body and a second contacting body, wherein the coil arrangement carrier and the front body are formed monolithically in such a way that they form one body and there are no connection points, wherein a respective first portion of the first contacting body and of the second contacting body has a longitudinal axis which lies in a cross-sectional plane of the coil arrangement carrier, and wherein the first contacting body and the second contacting body in each case have a second portion which is connected form-fittingly to the coil arrangement carrier and is embedded in a polymer matrix forming the coil arrangement carrier, wherein a first coil wire end of the coil wire is connected to a first portion of the first contacting body, and wherein a second coil wire end of the coil wire is connected to a first portion of the second contacting body.