The romans were just quelling a mounting revolt po. They wouldn't give a flying f**k abt Jesus nung time na yon. What did Jesus in was his claim to be the Messiah... very dangerous to the established Jewish politico-religious hierarchy.
Tingnan po natin available forces ni Jesus... 12 apostles and about 5,000 well fed listeners pre-entry to Jerusalem. By the time nag-enter sya into Jerusalem, nagkakagulo na the whole city, courtesy of some agitations by Zealots (Judas po was a Zealot and true believer that Jesus is God, he betrayed Christ in the hopes na Christ would get on with his Messiah-ness and start zapping Romans, instead of preaching peace).
Sa Romans naman: 1 Roman legion = approx 20k men. + 3 more legions over at Caesarea Philippi (3 days march). Pero nung nagpa-choose si Pilate, they only had mga 300-500 men available in-city, naghahabol yata ng mga Zealots outside Jerusalem the rest of the legion at the time. Ergo, they better remove the cause of the gulo (innocent or otherwise) before di na ma-control ng 300 men lang. Of course, the Temple priests convinced them na si Jesus yung nanggugulo.
Christianity did not become official in the Roman Empire until Constantine decided it was a very useful political and unifying tool. In hoc signo vinces (by this sign you shall conquer). Before Constantine, Christians were either streetlamps or lion food.