Expansion cone with rotational lock

A method of installing an expandable tubular comprising:

• locking a receptacle to a lower end of the expandable tubular, wherein the receptacle comprises an inner sleeve extending from a lower end of the expandable tubular upward in the expandable tubular;
• generating an axial force on a solid cone assembly including a solid cone body formed from a drillable material, the solid cone body having an expansion surface, wherein the expansion surface gradually increases in outer diameter from a leading edge to a maximum expansion diameter, a first expansion profile formed in a first portion of the expansion surface, wherein the first expansion profile has a circular cross section, and either a second expansion profile formed in a second portion of the expansion surface, wherein the second expansion profile includes one or more facets, or a castellation included in the solid cone body;
• pushing the solid cone assembly downward;
• engaging the receptacle either with the facets of the second expansion profile or with the castellation of the solid cone body;
• and
• drilling an upper part of the solid cone body.