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The idea of destroying Jesus began with the Pharisees and the Herodians early in his ministry after he had healed a man on the Sabbath day.
Mark 3:6 Then the Pharisees went out and immediately plotted with the Herodians against Him, how they might destroy Him.
Towards the end of his ministry after he had raised Lazarus from the dead, the High Priest and the Sanhedrin sanctioned his death.
John 11:47 Then the chief priests and the Pharisees gathered a council and said, "What shall we do? For this Man works many signs.
48 "If we let Him alone like this, everyone will believe in Him, and the Romans will come and take away both our place and nation."
49 And one of them, Caiaphas, being high priest that year, said to them, "You know nothing at all,
50 "nor do you consider that it is expedient for us that one man should die for the people, and not that the whole nation should perish."
51 Now this he did not say on his own authority; but being high priest that year he prophesied that Jesus would die for the nation,
52 and not for that nation only, but also that He would gather together in one the children of God who were scattered abroad.
53 Then, from that day on, they plotted to put Him to death.
When Judas decided to betray him, the chief priests agreed to pay him money.
AV Matthew 26:14 Then one of the twelve, called Judas Iscariot, went unto the chief priests, 15 And said unto them, What will ye give me, and I will deliver him unto you? And they covenanted with him for thirty pieces of silver. 16 And from that time he sought opportunity to betray him.
Luke 22:5 And they were glad, and agreed to give him money.
6 So he promised and sought opportunity to betray Him to them in the absence of the multitude.
The charge on which the Sanhedrin sentenced Jesus to death was that of blasphemy.
Mark 14:64 "You have heard the blasphemy! What do you think?" And they all condemned Him to be deserving of death.
But the charge upon which they blackmailed Pilate to crucify him was that of sedition.
John 19:12 From then on Pilate sought to release Him, but the Jews cried out, saying, "If you let this Man go, you are not Caesar’s friend. Whoever makes himself a king speaks against Caesar."
I hope this helps.