The heart pump includes: a rotary impeller inserted in the systemic ventricle, the rotary impeller being provided with: a sealing membrane sutured onto the outer wall of the heart so as to secure the rotary impeller to the wall of the heart; a casing arranged inside the systemic ventricle such as to be able to suction and then discharge the blood; a preferably brushless motor connected to the casing and arranged inside the systemic ventricle and/or in the body of the ventricle, so as to facilitate maintenance; a managing unit installed in the epigastric region and including a preferably rechargeable power source and a unit for controlling the rotary impeller; a wired link between the managing unit and the rotary impeller; and a system for transmitting haemodynamic and rhythmic data measured by the heat pump via telemedicine.