The capital of the Aztec Empire was Tenochtitlan. It was founded around 1325 on an island in Lake Texcoco, in what is now Mexico City. Tenochtitlan grew to become the largest and most powerful city in Mesoamerica by the late 15th century and was the political, economic, and religious center of the Aztec civilization. It was connected to the mainland by causeways and had a population estimated around 400,000 at its peak before being destroyed by the Spanish conquistadores in 1521. The other options—Manchuria, Lemparre, and Yucatan—are not related as the Aztec capital.
Therefore, the correct answer is Tenochtitlan.