A cryostat (28) intended to be integrated into a maglev transport system (10), the cryostat (28) comprising at least one superconductive element (36) and a jacket (34) inside which each superconductive element (36) is placed. The cryostat is suitable for maintaining each superconductive element (36) at the desired temperature and the jacket (34) extending along a longitudinal axis (X). The length of each superconductive element (36) along the longitudinal axis (X) is comprised between 30% and 100% of the length of the jacket (34), and each superconductive element is a bulk element made of superconductor material.