A tire with a radial carcass reinforcement, when viewed in meridian section, includes a first bead, the seat of which is inclined towards the outside, the heel of the bead being axially on the inside and being reinforced by at least a reinforcement ring, the toe of the bead being axially on the outside and having a rubber wedge section made of rubber mix, the wedge being defined by two sides, the said rubber mix having a Shore A hardness greater than the Shore A hardness(es) of the rubber mixes located axially and radially above the bead ring and above the rubber wedge section. The carcass reinforcement is wound around the bead ring, passing from the inside to the outside to form an upturn extending along the radially inner side of the rubber wedge section, then along the side opposite the apex A, and then covering axially and radially, at least in part, the outside of the rubber section above the wedge section, the said upturn having an end located radially above the reinforcement annular ring of the bead and axially between the straight line P1 extending the radially outer side of the wedge section and the straight line P2 perpendicular to the axis of rotation and tangent at N to the said annular ring.