A corkscrew of the "double lever" type comprising: - a worm having one free end and one end rigidly connected to a gear rack, - a tubular body hosting said worm and having a lower portion adapted to conform to a neck of a bottle and an upper portion defining a translational and rotational guide head of said gear rack along and around the axis of said tubular body between a low position and a high position wherein the free end of said worm extends respectively in the lower portion and in a median portion of said tubular body, - two subassemblies, each comprising a lever arm and a gear wheel meshing in said gear rack, mounted in rotation about an axis perpendicular to the axis of said tubular body, on articulation shoulders bordering said guide head, said lever arms being movable between a position folded against the tubular body and a position separated from the tubular body, - for each subassembly, means for rigidly connecting the lever arm with the gear wheel arranged to adopt an active state wherein the lever arm is rigidly connected to the gear wheel and an inactive state wherein the lever arm is detached from the gear wheel, said corkscrew comprising means for keeping the rigid connection means in their inactive state when the lever arms are placed in their position folded against the tubular body and being characterized in that each gear wheel comprises at least one shoulder extending between the base of its teeth and one of its faces (93, 94) and in that said means for rigidly connecting a lever arm with a gear wheel comprise a member, having at least one straight branch, mounted movable in translation along the longitudinal axis of said lever arm in a sleeve with which said lever arm is provided, between a retracted position in said sleeve, corresponding to its inactive state, and a position partially extracted from the sleeve, corresponding to its active state, wherein an upper portion of the straight branch is engaged in a notch, formed radially in the shoulder of said gear wheel, the movement of said member from its active state to its inactive state taking place against a resilient return means inserted between a bottom comprised in the sleeve and a lower edge of said member. - a worm having one free end and one end rigidly connected to a gear rack, - a tubular body hosting said worm and having a lower portion adapted to conform to a neck of a bottle and an upper portion defining a translational and rotational guide head of said gear rack along and around the axis of said tubular body between a low position and a high position wherein the free end of said worm extends respectively in the lower portion and in a median portion of said tubular body, - two subassemblies, each comprising a lever arm and a gear wheel meshing in said gear rack, mounted in rotation about an axis perpendicular to the axis of said tubular body, on articulation shoulders bordering said guide head, said lever arms being movable between a position folded against the tubular body and a position separated from the tubular body, - for each subassembly, means for rigidly connecting the lever arm with the gear wheel arranged to adopt an active state wherein the lever arm is rigidly connected to the gear wheel and an inactive state wherein the lever arm is detached from the gear wheel, said corkscrew comprising means for keeping the rigid connection means in their inactive state when the lever arms are placed in their position folded against the tubular body and being characterized in that each gear wheel comprises at least one shoulder extending between the base of its teeth and one of its faces (93, 94) and in that said means for rigidly connecting a lever arm with a gear wheel comprise a member, having at least one straight branch, mounted movable in translation along the longitudinal axis of said lever arm in a sleeve with which said lever arm is provided, between a retracted position in said sleeve, corresponding to its inactive state, and a position partially extracted from the sleeve, corresponding to its active state, wherein an upper portion of the straight branch is engaged in a notch, formed radially in the shoulder of said gear wheel, the movement of said member from its active state to its inactive state taking place against a resilient return means inserted between a bottom comprised in the sleeve and a lower edge of said member.