N.M. Stat. § 63-1-34

Upon the application of any person or body corporate aggrieved by any election held by any railroad corporation, or any proceedings thereof, the district judge of the district in which such election has been held must proceed forthwith, summarily to hear the allegations and proofs of the parties, or otherwise inquire into the matters complained of; and thereupon confirm the election, order a new one or direct such other relief in the premises as accords with right and justice. Before any proceedings are had under this section, five days' notice thereof must be given to the adverse party, or those to be affected thereby.