There was no Jesus

[Warpy]

47. There was a revolution some years after his death

and most likely local records were destroyed. There would be no records in Rome, the matter was too unimportant.

IOW, we can't know whether or not an itinerant preacher called Yeshua pissed off both the Jews and the Romans and got crucified.

What we do know is that the early Jesus cult spread rapidly and widely. Archaeology has turned up ROTAS squares in both Pompeii and Herculaneum, so we know they'd gotten that far by 79CE.