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
Defeat of Silanus
With a view to cover the frontier of the Rhine and the immediately threatened territory of the Allobroges, a Roman army under Marcus Junius Silanus appeared in 645 in Southern Gaul. The Cimbri requested that land might be assigned to them where they might peacefully settle--a request which certainly could not be granted.
The consul instead of replying attacked them; he was utterly defeated and the Roman camp was taken. The new levies which were occasioned by this misfortune were already attended with so much difficulty, that the senate procured the abolition of the laws--presumably proceeding from Gaius Gracchus--which limited the obligation to military service in point of time.(19)
19. Cf. IV. III. Modifications of the Penal Law
But the Cimbri, instead of following up their victory over the Romans, sent to the senate at Rome to repeat their request for the assignment of land, and meanwhile employed themselves, apparently, in the subjugation of the surrounding Celtic cantons.
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Reference address : https://www.ellopos.net/elpenor/rome/4-05-peoples-north.asp?pg=31