What does Curēs mean in Latin?

Curēs, a proper noun, means “the ancient chief town of the Sabines; the inhabitants of Cures”.

What is the genitive of Curēs?

The genitive singular is Curium. Curēs is masculine, third declension.

proper noun · masculinethird declension

Curēs m pl (genitive Curium)

Cŭres, ium, m. (parvi, Ov. F. 2, 135) and f. (Tatiae, Prop. 5, 9, 74), = Κύρεις or Κύρις [curis, Sabine word, = hasta, Ov. F. 2, 477],

I. the ancient chief town of the Sabines, Varr. L. L. 5, § 51 Müll.; Cic. Fam. 15, 20, 1; Verg. A. 6, 811; 8, 638; Ov. M. 14, 778 al.; Liv. 1, 13, 5; 1, 18, 1; Flor. 1, 2, 1; cf. Quirites.—

B. Meton., the inhabitants of Cures, Ov. F. 3, 201; 6, 216.—

II. Hence, Cŭren-sis, e, adj., of Cures: turba, Ov. F. 3, 94. —

B. Subst.: Cŭrenses, ium, m., the inhabitants of Cures, Varr. L. L. 7, § 68 Müll.; Plin. 3, 12, 17, § 107.—

III. Cŭrētis, is (or perh. Cŭres, ētis), m., an inhabitant of Cures, Prop. 4 (5), 4, 9.

Sabine, perhaps related to curīs (“spear”), itself possibly from Proto-Italic *kusi- and related to the root of cuspis (“sharp point”).