The invention concerns a cutting wire (1) for plant-cutting equipment, such as an edger or a brush cutter, the wire (1) being profiled and adapted to be coiled on itself so as to form a reel (B) comprising at least two turns S),characterised in that the wire (1) comprises reciprocal holding arrangements (10, 20) so that each turn (S) cooperates with at least one adjacent turn (S) so as to hold it mechanically, so that the reel (B) is self-supporting.