Constantine ruled only a couple of centuries after the supposed death of Jesus, so that's roughly as fresh in the mind to them as Waterloo would be to a modern European. How did the Roman state explain itself (or did they try to censor that?) and how did the Roman people approach that fact?
Its likely that the story of Jesus from the Bible isnt true, or at least most of it which means that the historical Jesus wasnt as famous. ' He definitely wasnt as well known as he is today.There werent that many references to him from his lifetime or shortly after.