immortalise vs eternise

immortalise and eternise both are verbs.

Word	Noun	Adjective	Verb	Adverb
immortalise	No	No	Yes	No
eternise	No	No	Yes	No

As verbs, immortalise and eternise are synonyms defined as:

Other synonyms of immortalise include eternalise, eternalize, eternize, immortalize.

immortalise (verb)	eternise (verb)
make famous forever	make famous forever
be or provide a memorial to a person or an event