The version of the Nicene creed as modified by the Council of Constantinople in AD 381 includes:
he was crucified for us under Pontius Pilate, and suffered, and was buried, and the third day he rose again, according to the Scriptures, and ascended into heaven, and sitteth on the right hand of the Father;
So a large proportion of all the Christians who ever lived have been taught that Jesus was crucified under Pontius Pilate.
Pontius Pilate[b] was the fifth governor of the Roman province of Judaea, serving under Emperor Tiberius from 26/27 to 36/37 CE. He is best known today for being the official who presided over the trial of Jesus and ordered his crucifixion. Pilate's importance in modern Christianity is underscored by his prominent place in both the Apostles and Nicene Creeds. Due to the Gospels' portrayal of Pilate as reluctant to execute Jesus, the Coptic and Ethiopian Churches believe that Pilate became a Christian and venerate him as a martyr and saint.
All four canonical gospels state that Jesus was crucified during the prefecture of Pontius Pilate, the Roman governor of Roman Judaea.
In the Antiquities of the Jews (written about AD 93), Josephus states (Ant 18.3) that Jesus was crucified on the orders of Pilate. Most scholars agree that while this reference includes some later Christian interpolations, it originally included a reference to the execution of Jesus under Pilate.
In the second century the Roman historian Tacitus in The Annals (c. AD 116), described the persecution of Christians by Nero and stated (Annals 15.44) that Jesus had been executed on the orders of Pilate during the reign of Tiberius (Emperor from 18 September AD 14–16 March AD 37).
According to Flavius Josephus, Pontius Pilate was governor of Judea from AD 26 until he was replaced by Marcellus, either in AD 36 or AD 37, establishing the date of the death of Jesus between AD 26 and AD 37.
So if Pilate's governorship is dated correctly, Jesus should have been crucified sometime between AD 26 and 37.
And the date range has been narrowed down by other factors.
There is no consensus regarding the exact date of the crucifixion of Jesus, although it is generally agreed by biblical scholars that it was on a Friday on or near Passover (Nisan 14), during the governorship of Pontius Pilate (who ruled AD 26–36). Scholars have provided estimates for the year of crucifixion in the range 30–33 AD, with Rainer Riesner stating that "the fourteenth of Nisan (7 April) of the year A.D. 30 is, apparently in the opinion of the majority of contemporary scholars as well, far and away the most likely date of the crucifixion of Jesus." Another preferred date among scholars is Friday, April 3, 33 AD.
And the Wikipedia articles and many other sources discuss the various arguments for when the Passover would have been celebrated during various years when Pontius Pilate was governor, and when the Crucifixion happened relative to the Passover, and which year thus best fits the Gospel narratives.
For example, was the "darkness" at the crucifixion an eclipse? If so, there would be only a very few possibilities when PIlate was governor. So the date of 3 April AD 33 has been suggested for the Crucifixion.
So if you read the chronological sections of the Wikipedia articles mentioned, or other discussions of the chronology of Jesus, you will see the various clues that scholars use to try to find the date of the Crucifixion, and thus you can form an opinion about how accurate the dating of the crucifixion to the period of AD 30 to 33 is.