Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
On the other hand, the south Italian Greeks adhered to the Roman alliance--a result to which the Roman garrisons no doubt contributed, but which was still more due to the very decided dislike of the Greeks towards the Phoenicians themselves and towards their new Lucanian and Bruttian allies, and their attachment on the other hand to Rome, which had zealously embraced every opportunity of manifesting its Hellenism, and had exhibited towards the Greeks in Italy an unwonted gentleness.
Thus the Campanian Greeks, particularly Neapolis, courageously withstood the attack of Hannibal in person: in Magna Graecia Rhegium, Thurii, Metapontum, and Tarentum did the same notwithstanding their very perilous position. Croton and Locri on the other hand were partly carried by storm, partly forced to capitulate, by the united Phoenicians and Bruttians; and the citizens of Croton were conducted to Locri, while Bruttian colonists occupied that important naval station.
The Latin colonies in southern Italy, such as Brundisium, Venusia, Paesturn, Cosa, and Cales, of course maintained unshaken fidelity to Rome. They were the strongholds by which the conquerors held in check a foreign land, settled on the soil of the surrounding population, and at feud with their neighbours; they, too, would be the first to be affected, if Hannibal should keep his word and restore to every Italian community its ancient boundaries.
This was likewise the case with all central Italy, the earliest seat of the Roman rule, where Latin manners and language already everywhere preponderated, and the people felt themselves to be the comrades rather than the subjects of their rulers. The opponents of Hannibal in the Carthaginian senate did not fail to appeal to the fact that not one Roman citizen or one Latin community had cast itself into the arms of Carthage. This groundwork of the Roman power could only be broken up, like the Cyclopean walls, stone by stone.
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Reference address : https://www.ellopos.net/elpenor/rome/3-05-war-hannibal-cannae.asp?pg=43