New Mexico Statutes Chapter 1. Elections § 1-8-18. Primary election law; who may become a candidate

A. No person shall become a candidate for nomination by a political party or have the person's name printed on the primary election ballot unless the person's record of voter registration shows:

B. A voter may challenge the candidacy of a person seeking nomination by a political party for the reason that the person does not meet the requirements of Subsection A of this section by filing a petition in the district court within ten days after the last day for filing a declaration of candidacy or a statement of candidacy for convention designation. The district court shall hear and render a decision on the matter within ten days after the filing of the petition. The decision of the district court may be appealed to the supreme court within five days after the decision is rendered. The supreme court shall hear and render a decision on the appeal forthwith.