N.M. Stat. § 74-10-13
Election of directors.
Each biennial nonpartisan election of directors shall be conducted at the time of the
regular local election under the direction of the county clerk and in accordance with the
election laws of New Mexico. Any other election of the authority, including an election
to seek approval for the issuance of bonds, shall be conducted pursuant to the
provisions of the Local Election Act [Chapter 1, Article 22 NMSA 1978].