N.M. Stat. § 42-5-1
[Complaint; prayer.]
When any lands, tenements or hereditaments shall be owned in joint tenancy,
tenancy in common or coparcenary, whether the right or title be derived by donation,
grant, purchase, devise or descent, it shall be lawful for any one or more persons
interested, whether they be in possession or not, to present to the district court their
complaint in chancery, praying for a division and partition of such premises, according
to the respective rights of the parties interested therein, and for a sale thereof, if it shall
appear that partition cannot be made without great prejudice to the owners.