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: Gard. Dict. ed. 8 5 1768.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:544326-1.
This name was in version 1 of The Plant List, record kew-2347369, and has not been changed.