conviction vs belief

conviction and belief both are nouns.

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

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

conviction: an unshakable belief in something without need for proof or evidence
belief: any cognitive content held as true

conviction (noun)	belief (noun)
(criminal law) a final judgment of guilty in a criminal case and the punishment that is imposed	any cognitive content held as true
an unshakable belief in something without need for proof or evidence	a vague idea in which some confidence is placed