Albert Barnes Commentary Ezra 6:2

"And there was found at Achmetha, in the palace that is in the province of Media, a roll, and therein was thus written for a record:" — Ezra 6:2 (ASV)

“Achmetha” is the “Ecbatana,” or “Agbatana,” of the Greeks, the Persian name for which, as we find in the Behistun Inscription, was HaGMaTANa.

We must suppose that when Babylon had been searched in vain, the other cities which possessed record-offices were visited, and the decree looked for in them. Ecbatana was the capital of Cyrus.