New Mexico Statutes Chapter 1. Elections § 1-15-21. Expiring term and next succeeding term; nomination

A. If any political party convention nominates any individual to be placed on the general election ballot for the term next succeeding the expiring term, then such person nominated by the party convention shall be deemed to also be designated by the convention for the expiring term. No candidate may be designated by the convention for the expiring term only.

B. Any candidate whose name is placed on the direct primary ballot in the primary election for the term next succeeding the expiring term shall be conclusively presumed to have declared as a candidate for both the expiring term and the succeeding term.