From Ballot Access News:
On November 25, the New Mexico Constitution Party asked the State Supreme Court to rule that it should be considered a ballot-qualified party for 2014. The case is Constitution Party of New Mexico v Duran. The party cites the law that says if the Secretary of State was going to disqualify the party after the 2012 election, she should have notified the party officers of her decision no later than March 15, 2013. Actually she didn’t notify them until July 18, 2013.
Also the law says when a party is disqualified, the state must sent each member of that party a letter, informing the voter. The law says that letter should have been sent no later than April 29, but actually such letters were not sent until November 1. Here is the party’s request to the State Supreme Court to hear the case.