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
Capua and Most of the Communities of Lower Italy Pass over to Hannibal
Above all came the decisive fact, that now at length the fabric of the Roman confederacy began to be unhinged, after it had survived unshaken the shocks of two severe years of war. There passed over to the side of Hannibal Arpi in Apulia, and Uzentum in Messapia, two old towns which had been greatly injured by the Roman colonies of Luceria and Brundisium; all the towns of the Bruttii--who took the lead--with the exception of the Petelini and the Consentini who had to be besieged before yielding; the greater portion of the Lucanians; the Picentes transplanted into the region of Salernum; the Hirpini; the Samnites with the exception of the Pentri; lastly and chiefly, Capua the second city of Italy, which was able to bring into the field 30,000 infantry and 4000 horse, and whose secession determined that of the neighbouring towns Atella and Caiatia.
The aristocratic party, indeed, attached by many ties to the interest of Rome everywhere, and more especially in Capua, very earnestly opposed this change of sides, and the obstinate internal conflicts which arose regarding it diminished not a little the advantage which Hannibal derived from these accessions. He found himself obliged, for instance, to have one of the leaders of the aristocratic party in Capua, Decius Magius, who even after the entrance of the Phoenicians obstinately contended for the Roman alliance, seized and conveyed to Carthage; thus furnishing a demonstration, very inconvenient for himself, of the small value of the liberty and sovereignty which had just been solemnly assured to the Campanians by the Carthaginian general.
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Reference address : https://www.ellopos.net/elpenor/rome/3-05-war-hannibal-cannae.asp?pg=42