The Elvish language J.R.R. Tolkien created for the Ñoldor is Quenya.
Quenya is one of Tolkien’s most fully developed constructed languages. It is associated especially with the Ñoldorin Elves and with the ancient Elven cultures of Valinor. Tolkien modeled aspects of its sound and structure on languages including Finnish, Latin, and Greek.
Sindarin is the other major Elvish language in Tolkien’s fiction, but it developed as the everyday language of many Elves in Middle-earth. Quenya survives mainly as a language of lore, ceremony, poetry, and formal names during the later history of Middle-earth.
Tolkien’s linguistic work came before and alongside much of his storytelling. He often built mythology to give his invented languages a believable history, rather than treating language as a decorative feature added after the narratives were complete.