According to the Jesuit scholar Daniel Harrington, the consensus of Jewish and Christian scholars is that there is some Jewish responsibility, regarding not the Jewish people, but regarding only the probable involvement of the high priests in Jerusalem at the time and their allies.
It says "you did not know, O Israel, that this one was the firstborn of God." The author does not attribute particular blame to Pontius Pilate, but only mentions that Pilate washed his hands of guilt.
The accuracy of the Gospel accounts' portrayal of Jewish complicity in Jesus' death has been vigorously debated in recent decades, with views ranging from a denial of responsibility to extensive culpability.
The Jesus Seminar's Scholars Version translation note for John adds: "it's illegal for us: The accuracy of this claim is doubtful." It is noted, for example, that Jewish authorities were responsible for the stoning of Saint Stephen in Acts and of James the Just in Antiquities of the Jews without the consent of the governor.
Josephus however, notes that the execution of James happened while the newly appointed governor Albinus "was but upon the road" to assume his office.
So when Pilate saw that he prevailed nothing, but rather that a tumult was arising, he took water, and washed his hands before the multitude, saying, I am innocent of the blood of this righteous man; see ye [to it].