Warning possible spoilers ahead (if you haven't already been spoiled by the writeup above).

The First Children, and dedicated pilot of Eva-00. A young girl who apparently lacks emotions. Her body was created from the salvaged remains of Yui Ikari after Yui was taken into the Eva, and numerous Rei clones were then prepared in Terminal Dogma so that when one Rei dies she can be replaced by another. The present Rei is the third. The first was killed by Dr. Naoko Akagi, and the second died in battle against the 16th Angel. Although the personalities of these three Reis differ from one another, this is due to environmental factors. Their soul is one and the same, and it appears to have been that of Lilith. At the final stage of the Instrumentality Project, Rei betrayed Gendou Ikari, returned to Lilith of her own judgment and entrusted the future to Gendou's son - Shinji Ikari. Birth date: unknown.

Source: The End of Evangelion : Glossary contained within The End of Evangelion - Theatrical Program.