Connotation – An idea or feeling which a word invokes (or implies) for a person in addition to its primary meaning; to have a secondary meaning to a literal meaning; the emotional meaning
The convict had written a note at the police station (connotation) and the words implied there was a second (secondary meaning) person involved.
Examples of connotation in a sentence
Hollywood holds connotations of romance and glittering success.
The words "abandoned house" had connotations of negative feelings.
Jack had the wrong connotation and was too manly so they decided to be called Jett from now on.