§ 1-8-27 NMSA 1978

Each declaration of candidacy, by nominating petition or by pre-primary convention designation, shall be delivered for filing in person by the candidate therein named or by a person acting, by virtue of written authorization, solely on the candidate's behalf. The proper filing officer shall not accept for filing more than one declaration of candidacy from any one individual except that candidates who seek but fail to receive pre-primary convention designation shall file a declaration of candidacy by nomination, according to provisions of the Primary Election Law [ 1-8-10 to 1-8-52 NMSA 1978], to have their names placed on the primary election ballot.