A coil assembly for a magnetic flowmeter, the assembly comprising: a winding; a coil form (22; 22A-22D) comprising: a base defining a loop with a central opening, the loop having a rectangular shape defined by a pair of opposed first sides and a pair of opposed second sides, wherein the first sides are longer than the second sides; a coil support structure (28A, 28B) extending from the base at each of the second sides of the loop; and characterized by a plurality of spaced apart support members (30; 30A-30D) extending from the base along each of the first sides, wherein each support member includes a first portion and a second portion, wherein the first portion extends from the base and the second portion extends from the first portion at an angle relative to the first portion, and wherein a gap is defined between adjacent support members; and wherein the winding is wound about the coil form, wherein the winding abuts the first portion of at least some of the plurality of spaced apart support members and is at least partially secured by the second portions of the support members, wherein the winding abuts each of the coil support structures, and wherein the winding is curved in a saddle shape. a winding; a coil form (22; 22A-22D) comprising: a base defining a loop with a central opening, the loop having a rectangular shape defined by a pair of opposed first sides and a pair of opposed second sides, wherein the first sides are longer than the second sides; a coil support structure (28A, 28B) extending from the base at each of the second sides of the loop; and characterized by a plurality of spaced apart support members (30; 30A-30D) extending from the base along each of the first sides, wherein each support member includes a first portion and a second portion, wherein the first portion extends from the base and the second portion extends from the first portion at an angle relative to the first portion, and wherein a gap is defined between adjacent support members; and wherein the winding is wound about the coil form, wherein the winding abuts the first portion of at least some of the plurality of spaced apart support members and is at least partially secured by the second portions of the support members, wherein the winding abuts each of the coil support structures, and wherein the winding is curved in a saddle shape. a base defining a loop with a central opening, the loop having a rectangular shape defined by a pair of opposed first sides and a pair of opposed second sides, wherein the first sides are longer than the second sides; a coil support structure (28A, 28B) extending from the base at each of the second sides of the loop; and characterized by a plurality of spaced apart support members (30; 30A-30D) extending from the base along each of the first sides, wherein each support member includes a first portion and a second portion, wherein the first portion extends from the base and the second portion extends from the first portion at an angle relative to the first portion, and wherein a gap is defined between adjacent support members; and wherein the winding is wound about the coil form, wherein the winding abuts the first portion of at least some of the plurality of spaced apart support members and is at least partially secured by the second portions of the support members, wherein the winding abuts each of the coil support structures, and wherein the winding is curved in a saddle shape.