The invention relates to a cryogenic container (110) for storing and/or transporting a medium (124), in particular a biochemical and/or medical product. The cryogenic container (110) comprises at least one primary container (118), which has at least one flexible film bag (120). The flexible film bag (120) is designed to receive the medium (124). The cryogenic container (110) furthermore comprises at least one secondary container (132), which at least partially surrounds the primary container (118) and is preferably at least partially flexible. The secondary container (132) has at least one opening (133) for insertion of the primary container (118). The secondary container (132) furthermore has at least one preferably at least partially flexible outer sleeve (134). The secondary container (132) furthermore has at least one heat exchanger space (138), which is arranged between the outer sleeve (134) and the flexible film bag (120) and receives at least one fluid heat exchange medium. (Fig. 1A)