A magnetic resonance coil arrangement for receiving radio-frequency radiation has at least one flexible local coil initially in a planar shape as well as a rigid local coil in a semi-tubular shape. The flexible local coil has first antenna elements for receiving radio-frequency radiation, as well as at least two first connection elements on different sides of the flexible local coil. The rigid local coil has second for receiving radio-frequency radiation, as well as at least two receiving elements. The first connection elements and the receiving element are designed to connect and thereby bend the flexible local coil to the rigid local coil so as to form a tubular overall local coil.