Bishop Pierre Cauchon of the Diocese of Beauvais orchestrated the whole thing. He was a zealot for England and chose a biased jury. He falsified evidence, suppressed findings favorable to St. Joan, terrorized jurors, and refused St. Joan's repeated appeals to the Council of Basel and the pope.
You can find the trial transcripts here. The English burned Joan of Arc to death on May 30, 1431. Then they burned her body twice more to prevent the collection of relics.
As she was dying, St. Joan asked two priests to hold a crucifix before her face. As it had throughout her life, St. Joan's gaze remained on Christ as she, like him, endured an unjust and painful death.
Glorious St. Joan of Arc, filled with compassion for those who invoke you, with love for those who suffer, heavily laden with the weight of my troubles, I kneel at your feet and humbly beg you to take my present need under your special protection...(mention here).
Vouchsafe to recommend it to the Blessed Virgin Mary, and lay it before the throne of Jesus. Cease not to intercede for me until my request is granted. Above all, obtain for me the grace to one day meet God face to face and with you and Mary and all the angels and saints praise Him through all eternity.
O most powerful Saint Joan, do not let me lose my soul, but obtain for me the grace of winning my way to heaven, forever and ever. Amen.
This is the spot in Rouen's Old Market Square where St. Joan was burned at the stake.