New Mexico Statutes Chapter 1. Elections § 1-15-20. Expiring term and next succeeding term in same election

A. In all instances where the expiring term of the office of United States senator or representative and the term next succeeding the expiring term are to be voted upon at the same general election, the same individual may be a candidate for both the expiring term and next succeeding term, whether at a primary election, nominating convention or general election.

B. In those instances where a person is initially elected for a next succeeding term of the office of United States senator or representative at a general election and there becomes a vacancy in the expiring term of that office at any time beginning seventy days before the general election through the first day of the next succeeding term, the person initially elected for the next succeeding term and in possession of the certificate of election from the general election shall be declared elected for the remainder of the expiring term.