A composite vane includes both a vane body extending in a longitudinal direction between an inner end and an outer end and also at least one fastener base connected to the inner end or to the outer end of the vane body. The vane includes metal reinforcement associated with an organic matrix. The metal reinforcement defines integrally as a single part both a longitudinal core extending between the inner and outer ends of the vane body and also the fastener base, the longitudinal core having the organic matrix overmolded thereon, the organic matrix defining the outside shape of the vane.