Elastic metal/textile composite cord (C-1) having two layers (Ci, Ce) of 1+N construction, formed from a core or inner layer (Ci) comprising a textile core thread (10) of diameter d1 and a metal outer layer (Ce) of N wires (12) of diameter d2 wound together in a helix with a pitch p2 around the layer Ci, said cord being characterized in that it has the following characteristics (p2 in mm): As>1.0%; At>4.0%; Af>6.0%; d1>1.1d2; 4