I already think that Tacitus knew Josephus, but now I'm wondering if some sort of TF (assuming there was one) could be where he got his information regarding Jesus too.
War 6.5.3:
Thus were the miserable people persuaded by these deceivers, and such as belied God himself; while they did not attend nor give credit to the signs that were so evident, and did so plainly foretell their future desolation, but, like men infatuated, without either eyes to see or minds to consider, did not regard the denunciations that God made to them. Thus there was a star resembling a sword, which stood over the city, and a comet, that continued a whole year. Thus also before the Jews' rebellion, and before those commotions which preceded the war, when the people were come in great crowds to the feast of unleavened bread, on the eighth day of the month Xanthicus, [Nisan,] and at the ninth hour of the night, so great a light shone round the altar and the holy house, that it appeared to be bright day time; which lasted for half an hour. This light seemed to be a good sign to the unskillful, but was so interpreted by the sacred scribes, as to portend those events that followed immediately upon it. At the same festival also, a heifer, as she was led by the high priest to be sacrificed, brought forth a lamb in the midst of the temple. Moreover, the eastern gate of the inner [court of the] temple, which was of brass, and vastly heavy, and had been with difficulty shut by twenty men, and rested upon a basis armed with iron, and had bolts fastened very deep into the firm floor, which was there made of one entire stone, was seen to be opened of its own accord about the sixth hour of the night. Now those that kept watch in the temple came hereupon running to the captain of the temple, and told him of it; who then came up thither, and not without great difficulty was able to shut the gate again. This also appeared to the vulgar to be a very happy prodigy, as if God did thereby open them the gate of happiness. But the men of learning understood it, that the security of their holy house was dissolved of its own accord, and that the gate was opened for the advantage of their enemies. So these publicly declared that the signal foreshowed the desolation that was coming upon them. Besides these, a few days after that feast, on the one and twentieth day of the month Artemisius, [Jyar,] a certain prodigious and incredible phenomenon appeared: I suppose the account of it would seem to be a fable, were it not related by those that saw it, and were not the events that followed it of so considerable a nature as to deserve such signals; for, before sun-setting, chariots and troops of soldiers in their armor were seen running about among the clouds, and surrounding of cities. Moreover, at that feast which we call Pentecost, as the priests were going by night into the inner [court of the temple,] as their custom was, to perform their sacred ministrations, they said that, in the first place, they felt a quaking, and heard a great noise, and after that they heard a sound as of a great multitude, saying, "Let us remove hence."
War 6.5.4:
Tacitus Histories 5.13:But now, what did the most elevate them in undertaking this war, was an ambiguous oracle that was also found in their sacred writings, how, about that time, one from their country should become governor of the habitable earth. The Jews took this prediction to belong to themselves in particular, and many of the wise men were thereby deceived in their determination. Now this oracle certainly denoted the government of Vespasian, who was appointed emperor in Judea. However, it is not possible for men to avoid fate, although they see it beforehand. But these men interpreted some of these signals according to their own pleasure, and some of them they utterly despised, until their madness was demonstrated, both by the taking of their city and their own destruction.
Ant. 18.3.3:Prodigies had occurred, which this nation, prone to superstition, but hating all religious rites, did not deem it lawful to expiate by offering and sacrifice. There had been seen hosts joining battle in the skies, the fiery gleam of arms, the temple illuminated by a sudden radiance from the clouds. The doors of the inner shrine were suddenly thrown open, and a voice of more than mortal tone was heard to cry that the Gods were departing. At the same instant there was a mighty stir as of departure. Some few put a fearful meaning on these events, but in most there was a firm persuasion, that in the ancient records of their priests was contained a prediction of how at this very time the East was to grow powerful, and rulers, coming from Judaea, were to acquire universal empire. These mysterious prophecies had pointed to Vespasian and Titus, but the common people, with the usual blindness of ambition, had interpreted these mighty destinies of themselves, and could not be brought even by disasters to believe the truth.
Tacitus Annals 15.44:He was [the] Christ. And when Pilate, at the suggestion of the principal men amongst us, had condemned him to the cross, those that loved him at the first did not forsake him; for he appeared to them alive again the third day; as the divine prophets had foretold these and ten thousand other wonderful things concerning him. And the tribe of Christians, so named from him, are not extinct at this day.
...a class hated for their abominations, called Christians by the populace. Christus, from whom the name had its origin, suffered the extreme penalty during the reign of Tiberius at the hands of one of our procurators, Pontius Pilatus, and a most mischievous superstition, thus checked for the moment, again broke out not only in Judæa, the first source of the evil, but even in Rome...
