A tire comprising at least a first bead, the seat of which has a generatrix whose inner end lies on a circle of diameter greater than the diameter of the circle on which the axially outer end is located, the bead heel being axially to the inside and the bead toe being axially to the outside, and a radial carcass reinforcement winding within each bead around at least one inextensible, annular heel reinforcement element which is coated with rubber mix, the carcass reinforcement passing around the annular heel-reinforcement element from the inside to the outside to form an upturn which extends into a profiled element of rubber mix in the form of a wedge having a Shore A hardness greater than the Shore A hardness(es) of the rubber mixes respectively radially above said profiled element and the axially adjacent profiled element, the meridian profile of the carcass reinforcement, when the tire is mounted on its operating rim and inflated to the recommended pressure, having a direction of curvature which is constant in the first bead and the sidewall extending radially therefrom and having a tangent TT′ to the point of tangency T of said profile with the annular element of said first bead which forms with the axis of rotation an angle φ which is open towards the outside of between 45° and 70°, wherein said tire, viewed in meridian section, further comprises:
- at least the sidewall extending the first bead comprises a profiled element having, viewed in section, substantially the form of a crescent defined by an inner face and an outer face, said crescent-shaped profiled element extending between a point P1 and a point P2, the point P1 being located on a circle of radius R1 greater than the external radius Rte of the annular bead element and less than the radius R0 of the circle on which are located the axially outermost points of the carcass reinforcement of the tire mounted on its rim and inflated to its use pressure, the point P2 being located on a circle of radius R2 greater than the radius R0;
- one of the axially inner or outer faces of the crescent-shaped profiled element follows the profile of the carcass reinforcement;
- and
- the trace of the face of the crescent-shaped profiled element opposite the face of said crescent-shaped profiled element closest to the carcass reinforcement has a single direction of curvature.