Various embodiments of an intervertebral implant comprise a body extending longitudinally along a primary axis, a baseplate, a plurality of elongated arms having a vertebral support surface, the arms being articulated such that the implant has a folded-back position in which the arms are close to each other, and a deployed position in which the arms are moved away from each other, and expansion means between the folded-back and deployed positions, comprising at least two branches pivotably mounted relative to each other and attached to the elongated arms by guide means such that translation of the expansion means parallel to the primary axis causes pivoting of the branches and moves the arms away from each other.