This name is a synonym of Linum perenne subsp. anglicum (Mill.) Ockendon.
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: Prodr. 1: 427 1824.
This name was in version 1 of The Plant List, record kew-2873430, and has not been changed.