A mold for blow molding a container from a preform, the container including a wall portion and a base including a high standing ring and a central outwardly-inclined invertible diaphragm, the mold including sidewalls forming a counter print of the wall portion of the container (1) and a mold base (36) having an upper surface (37) defining a counter print of the container base, wherein the upper surface (37) includes: an annular peripheral face (43) corresponding to an annular support flange of the container base; a frusto-conical outer face (44) corresponding to an inner portion (11) of the high standing ring, the outer face (44) protruding upwardly with a draft angle (A2) from an inner edge of the peripheral annular face (43) up to a sharp apex (45), and a frusto-conical downwardly inclined inner face (46) corresponding to the invertible diaphragm.