A coil assembly, in particular a star- and/or core-free air-core reactor, comprising - a first coil having at least one first winding layer, wherein the first coil has a first end face region and a second end face region spaced apart therefrom in the direction of a first longitudinal axis, and a first outer dimension and a first inner dimension are formed by the first coil in the radial direction with respect to the first longitudinal axis, - a support arrangement comprising multiple first support elements, in particular at least three first support elements, wherein by means of the first support elements the first coil can be supported with its first end face region on an installation surface, characterized in that - the first support elements are fork-shaped and each comprise a first support element base and at least one first inner support element tine and at least one first outer support element tine, wherein the support element tines (27, 28) each project from the first support element base and are arranged spaced apart from one another forming a first receiving slot, and the first receiving slot extends continuously in a longitudinal slot extension between the at least one first inner support element tine and the at least one first outer support element tine, - the first support elements are arranged such on the at least one first winding layer of the first coil that the at least one first winding layer is received in the first receiving slot and the at least one inner first support element tine is located on the side of the at least one first winding layer facing the first longitudinal axis and the at least one outer first support element tine is located on the side of the at least one first winding layer facing away from the first longitudinal axis, and - the at least one first winding layer is supported with its first end face region on one of the first support element bases in each case. - a first coil having at least one first winding layer, wherein the first coil has a first end face region and a second end face region spaced apart therefrom in the direction of a first longitudinal axis, and a first outer dimension and a first inner dimension are formed by the first coil in the radial direction with respect to the first longitudinal axis, - a support arrangement comprising multiple first support elements, in particular at least three first support elements, wherein by means of the first support elements the first coil can be supported with its first end face region on an installation surface, - the first support elements are fork-shaped and each comprise a first support element base and at least one first inner support element tine and at least one first outer support element tine, wherein the support element tines (27, 28) each project from the first support element base and are arranged spaced apart from one another forming a first receiving slot, and the first receiving slot extends continuously in a longitudinal slot extension between the at least one first inner support element tine and the at least one first outer support element tine, - the first support elements are arranged such on the at least one first winding layer of the first coil that the at least one first winding layer is received in the first receiving slot and the at least one inner first support element tine is located on the side of the at least one first winding layer facing the first longitudinal axis and the at least one outer first support element tine is located on the side of the at least one first winding layer facing away from the first longitudinal axis, and - the at least one first winding layer is supported with its first end face region on one of the first support element bases in each case.