The seventy-one-member ruling council in Jerusalem — which English Bibles call "the council", so the name is easy to miss.
The supreme council: the high priest presiding, with chief priests, elders and scribes, drawn from both Sadducees and Pharisees, numbering seventy-one on the traditional reckoning. It handled religious law and as much civil authority as Rome allowed, which notably did not include executions — which is why the gospels have Jesus sent on to Pilate. The word is simply Greek for a council and is usually translated that way, so a reader can pass the Sanhedrin a dozen times without meeting the name.
Not a word scripture uses. The Greek word synedrion means "council" and is translated that way almost everywhere. "Sanhedrin" is the later Hebrew form of the same Greek word, and does not appear in English Bibles.