Marcus Ulpius Traianus was born on 18 September 53AD in the Roman province of Hispania Baetica (in what is now Andalusia in modern Spain), in the city of Italica (now in the municipal area of Santiponce, in the outskirts of Seville). Although frequently designated the first provincial emperor, and dismissed by later writers such as Cassius Dio (himself of provincial origin) as "an Iberian, and neither an Italian nor even an Italiot", Trajan appears to have hailed on his father's side from the area of Tuder (modern Todi) in Umbria, at the border with Etruria, and on his mother's side from the Gens Marcia, of an Italic family of Sabine origin. Trajan's birthplace of Italica was founded as a Roman military colony of "Italian" settlers in 206BC, though it is unknown when the Ulpii arrived there. It is possible, but cannot be substantiated, that Trajan's ancestors married local women and lost their citizenship at some point, but they certainly recovered their status when the city became a municipium with Latin citizenship in the mid-1st century BC.
Charlemagne's expansion of the Frankish empire around 800, including northern Italy and Rome, brought on a brief period of stability and unity in Francia. This created opportunities for Jewish merchants to settle again north of the Alps. Charlemagne granted the Jews freedoms similar to those once enjoyed under the Roman Empire. In addition, Jews from southern Italy, fleeing religious persecution, began to move into central Europe.[citation needed] Returning to Frankish lands, many Jewish merchants took up occupations in finance and commerce, including money lending, or usury. (Church legislation banned Christians from lending money in exchange for interest.) From Charlemagne's time to the present, Jewish life in northern Europe is well documented. By the 11th century, when Rashi of Troyes wrote his commentaries, Jews in what came to be known as "Ashkenaz" were known for their halakhic learning, and Talmudic studies. They were criticized by Sephardim and other Jewish scholars in Islamic lands for their lack of expertise in Jewish jurisprudence (dinim) and general ignorance of Hebrew linguistics and literature. Yiddish emerged as a result of language contact with various High German vernaculars in the medieval period. It was written with Hebrew letters, and heavily influenced by Hebrew and Aramaic.
The imperial period of Rome lasted approximately 1,500 years compared to the 500 years of the Republican era. The first two centuries of the empire's existence were a period of unprecedented political stability and prosperity known as the Pax Romana, or ``Roman Peace ''. Following Octavian's victory, the size of the empire was dramatically increased. After the assassination of Caligula in AD 41, the Senate briefly considered restoring the republic, but the Praetorian Guard proclaimed Claudius emperor instead. Under Claudius, the empire invaded Britannia, its first major expansion since Augustus. After Claudius' successor, Nero, committed suicide in AD 68, the empire suffered a series of brief civil wars, as well as a concurrent major rebellion in Judea, during which four different legionary generals were proclaimed emperor. Vespasian emerged triumphant in AD 69, establishing the Flavian dynasty, before being succeeded by his son Titus, who opened the Colosseum shortly after the eruption of Mount Vesuvius. His short reign was followed by the long reign of his brother Domitian, who was eventually assassinated. The Senate then appointed the first of the Five Good Emperors. The empire reached its greatest extent under Trajan, the second in this line.

Question: The empire in which Jews had freedoms similar to those granted by Charlemagne reached its greatest extent under an emperor whose mother was called what?
Answer: Marcia