Founding Titan

The Coordinate (also referred to as the "invincible power") is an ability that is most recognizable for allowing the user to control the titans.

Description
This power is actually a composition of three different abilities.

First and most noticeable of all, the Coordinate power grants the user the ability to control the Titans at will and make them follow virtually any order. This is seen when Eren unintentionally commanded nearby Titans to eat the Smiling Titan and to attack the Armored Titan.

It was also used to build the Walls, making Titans to harden their bodies and confine themselves into the resultant structures. The real limit of this power is unknown, but as can be observed, it extends to the point of making Titans to do actions that threaten their own lives.

Secondly, the Coordinate allows the user to erase the memory of a single person or even those of entire countries. It was used by Frieda to delete Historia's memories about her, and by an unknown previous user to make humanity forget all the history of the world before the building of the Walls.

However, Kenny's grandfather told him that the Ackerman bloodline and the Asian race were more durable to this mental manipulation, which caused their persecution at the hands of the monarchy.

Finally, the power allows the user to inherit the lost memories of mankind and those of the previous users, giving them omniscient knowledge about the world. Nevertheless, it seems that only the Reiss bloodline can activate this ability from the beginning, since Uri Reiss showed signs of having the knowledge immediately after obtaining the Coordinate while Eren has just unlocked some vague memories after years of having received it.

The overwhelming extent of these combined abilites makes the Coordinate to be referred as the "invincible power", and the user to be called "God", as stated by Rod Reiss.

Even so, it is noteworthy that despite the Coordinate users could use this power to easily stop the Titans once and for all and free humanity from their encagement if they wanted, and despite all the wielders had expressed the desire to do that before obtaining the abilities; once they receive the memories of the events that led to the invasion around 100 years ago, all of them have finally decided to do nothing, and not even want to reveal the reason to anyone, showing a silent concern and culprit for the knowledge received.

Frieda Reiss, a previous Coordinate user, used to suffer from fits of madness and depression due to those memories, and claimed that humans were sinners who deserved their punishment.

The Coordinate is apparently not inherited by bloodline, and the only way to get it is by eating the previous user. This is usually done by using a serum to transform into a Titan, then eating the holder and thus regaining human form plus obtaining the Coordinate power. This means that all the Coordinate users have been also Titan Shifters.

The Coordinate originally belonged to the Reiss royal family, which passed it generation to generation through the previously described process. However, seeing that they will never do something in order to stop the Titans despite having the capability to do it, which allowed the invasion of Shinganshina and the death of his wife, Grisha Yeager stole the Coordinate by attacking the Reiss family in his Titan form and eating the former wielder, Frieda. He then transformed his son Eren into a Titan and allowed to be eaten by him, so that he could master the Coordinate without the memories and influence of the Reiss bloodline and accomplish the goal they never did.

Carriers
List of previous and current carriers which are shown or mentioned:


 * Eren Yeager (Current Carrier)
 * Grisha Yeager
 * Frieda Reiss
 * Uri Reiss
 * Rod and Uri's Father
 * First King

Theories and Speculations

 * This power may have been used to build all three walls by controlling the titans and ordering them to harden themselves. This would explain why there are titans inside the walls.
 * This power may have been used by the monarchy to delete all of mankind's old memories about titans.
 * This power may be the reason why Reiner, Bertolt and Annie were looking for Eren.

Trivia

 * The Coordinate, as well as other titan abilities, is retained in the user's spinal cord, so it is not necessary to eat the whole wielder.
 * According to Rod, this power can only be used to it's full potential by a descendant of the Reiss family. That is why Rod tried to have Historia eat Eren, due to the fact that she was the only remaining heir of the Reiss bloodline.