rape conviction vs conviction

rape conviction and conviction both are nouns.

Word	Noun	Adjective	Verb	Adverb
rape conviction	Yes	No	No	No
conviction	Yes	No	No	No

As nouns, conviction is a hypernym of rape conviction; that is, conviction is a word with a broader meaning than rape conviction:

rape conviction: conviction for rape
conviction: (criminal law) a final judgment of guilty in a criminal case and the punishment that is imposed

Other hypernyms of rape conviction include condemnation, judgment of conviction, sentence.

rape conviction (noun)	conviction (noun)
conviction for rape	(criminal law) a final judgment of guilty in a criminal case and the punishment that is imposed
	an unshakable belief in something without need for proof or evidence