This name is a synonym of Coryphantha sulcata (Engelm.) Britton & Rose.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 5104353) with original publication details: Boston J. Nat. Hist. 5(2): 246 1845.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:151774-2.
This name was in version 1 of The Plant List, record tro-5104353.