N.M. Stat. § 22-4-13
Special school district election; term of office.
The term of office of members of a local school board elected at a special school
district election for a newly created or consolidated school district shall be as follows:
A. three members shall be elected for terms expiring at the next regular school
district election; and
B. two members shall be elected for terms expiring two years after the next regular
school district election.