Traction battery system for a motor vehicle and motor vehicle having an electric drive

A traction battery system of an electrically operable motor vehicle, wherein the traction battery system comprises:

• a traction battery in the form of an underfloor battery comprising at least one first battery module and one second battery module, and
• a battery assistant module having an assistant module housing and configured for operating the first and second battery modules,
• wherein the first and second battery modules and the battery assistant module are oriented in series in relation to one another in a direction of a body longitudinal axis (X) of a body of the electrically operable motor vehicle, and are configured to be arranged between a first sill and a second sill of the body, and
• wherein the battery assistant module includes a load-transmitting element for transmitting forces acting on side elements of the body, which load-transmitting element is configured to extend from the first sill to the second sill in a direction of a body transverse axis (Y) of the body.