JPEG 2000 is ancient. It is nearly as old as JPEG itself, it long since missed it's change to become relevant. Today it is a legacy format and should be mostly ignored. It has its own types of artefacts, which in some cases are even worse for image quality than those of JPEG.
JPEG has introduced multiple new formats since JPEG 2000, all of which are better, such as JPEG XR and JPEG XL.
JPEG has introduced multiple new formats since JPEG 2000, all of which are better, such as JPEG XR and JPEG XL.