call up vs conjure up

call up is a noun but conjure up is not a noun.

Word	Noun	Adjective	Verb	Adverb
call up	Yes	No	Yes	No
conjure up	No	No	Yes	No

As verbs, conjure up is a hyponym of call up; that is, conjure up is a word with a more specific, narrower meaning than call up:

call up: cause to become available for use, either literally or figuratively
conjure up: summon into action or bring into existence, often as if by magic

Other hyponyms of call up include arouse, bring up, call down, call forth, conjure, evoke, invoke, put forward, raise, stir.

call up (noun)	conjure up (noun)
an order to report for military duty

call up (verb)	conjure up (verb)
recall knowledge from memory; have a recollection	summon into action or bring into existence, often as if by magic
get or try to get into communication (with someone) by telephone
bring forward for consideration
call to arms; of military personnel
cause to become available for use, either literally or figuratively