nostrum vs patent medicine

nostrum and patent medicine both are nouns.

Word	Noun	Adjective	Verb	Adverb
nostrum	Yes	No	No	No
patent medicine	Yes	No	No	No

As nouns, patent medicine is a hypernym of nostrum; that is, patent medicine is a word with a broader meaning than nostrum:

nostrum: patent medicine whose efficacy is questionable
patent medicine: medicine that is protected by a patent and available without a doctor's prescription

nostrum (noun)	patent medicine (noun)
patent medicine whose efficacy is questionable	medicine that is protected by a patent and available without a doctor's prescription
hypothetical remedy for all ills or diseases; once sought by the alchemists