Answer first: dry, cold, dark and still, with the lot code where you can still read it in a year.
Lyophilised powder: refrigerated at two to eight degrees for months, frozen at minus twenty for longer. The gain from minus eighty over minus twenty is small for a dry solid and is not usually worth the arrangement.
Keep the certificate with the vial, physically or as a photograph filed under the lot code. A vial without a traceable certificate is an anonymous vial regardless of where it came from.
Residual moisture is the dominant determinant of solid-state stability, which is why desiccants accompany lyophilised material.
The caveat is that storage conditions preserve what you have and cannot improve it.
Keep the desiccant with the vial and the certificate with the lot code.