A capsule, for example for brewing coffee, comprising a rotationally symmetrically formed capsule body having a side wall and having a base formed integrally therewith. The capsule is closed by a lid to form a sealed chamber for accommodating the substance contained in the capsule. The base and lid can be pierced in order that a liquid can be channelled through the capsule. The base is provided with an annular channel, of which the inner wall portion forms a stiffening zone. The base of the channel here forms a piercing zone which, as a result of the stiffening zone, can be pierced to better effect and without the capsule base as a whole being deformed.