trophy vs loving cup

trophy and loving cup both are nouns.

Word	Noun	Adjective	Verb	Adverb
trophy	Yes	No	No	No
loving cup	Yes	No	No	No

As nouns, loving cup is a hyponym of trophy; that is, loving cup is a word with a more specific, narrower meaning than trophy:

trophy: something given as a token of victory
loving cup: a large metal vessel with two handles that is awarded as a trophy to the winner of a competition

Other hyponyms of trophy include apple of discord, booby prize, bronze medal, cup, gold medal, silver, silver medal.

trophy (noun)	loving cup (noun)
something given as a token of victory	a large metal vessel with two handles that is awarded as a trophy to the winner of a competition
an award for success in war or hunting	a large drinking vessel (usually with two handles) that people drink out of in turn at a banquet