Lewis & Short

Ĕlĕa, ae, f., = Ἐλέα, a city of Lucania, the birth-place of Parmenides and Zeno, the founders of the Eleatic philosophy, in Lat. also called Velia, Cic. N. D. 3, 33, 82.
Hence, Zeno Elĕātes, of Elea, Cic. Tusc. 2, 22, 52; and: Elĕātĭci philosophi, Eleatic, id. Ac. 2, 42, 129.