The present invention relates to a capsule for an aerosol-generating device, comprising: a shell comprising a base and at least one side wall extending from the base, the shell containing an aerosol-forming substrate； and a lid sealed on the at least one side wall for forming a sealed capsule, wherein, the base comprises a recess extending into said shell along the longitudinal axis for receiving a heater of an aerosol-generating device. The invention further relates to an aerosol-generating device comprising: a power supply； at least one heater； a cavity for receiving a capsule containing an aerosol-forming substrate according to any of the preceding claims； and a mouthpiece comprising a piercing element for piercing the lid of a capsule； wherein, the at least one heater is configured to be insertable into the recess of a capsule. In addition, an aerosol-generating system is provided which comprises an aerosol- generating device and a capsule.
