An intersomatic prosthesis with lateral introduction with a prosthesis body symmetrical along a sagittal plane is provided. The intersomatic prosthesis includes a convex anterior lateral wall along an anterior radius of curvature and a convex posterior lateral wall along a posterior radius of curvature larger than the anterior radius of curvature, a right end wall and a left end wall, and a lower bearing wall and an upper bearing wall open onto an inner space. The lower bearing wall has a central lower portion provided with lower teeth having lower bearing tips defining a lower bearing surface which is planar, and the upper bearing wall has a central upper portion provided with upper teeth having upper bearing tips defining an upper bearing surface which is convex.
