N.M. Admin. Code § 19.2.100.14
All leases issued by the commissioner shall provide for an annual rental to be paid by the lessee, whether or not a lease is producing oil or gas. The initial rental shall be fixed by the commissioner, but in no case shall the initial amount be less than twenty-five cents ($0.25) nor more than one dollar ($1.00) per acre. For ten-year leases, if production in paying quantities is obtained during the primary term of the first five years, then the initial rental rate shall be applicable as long as the lease is held by such production. If no production in paying quantities is obtained during the primary term and the lease enters the secondary term of five years, the rental for the remaining life of the lease shall be either double that of the primary term or the highest rate of rental prevailing in the area at the commencement of the secondary term, whichever is higher.
N.M. Admin. Code § 19.2.100.14