I am not saying that you are right or wrong. But where is your evidence that there was no crucifixion? I am not a Christian, but I am aware of their evidence for one. If you cannot provide any then I will have to go with the Christians.
Crucifixion (attachment to a cross, either by nailing or tying).
Resurrection (rising from the dead).
I think that you conflated crucifixion and resurrection.