N.M. Stat. § 53-4-28
Share and membership certificates; attachment.
The holdings of any member of an association, to the extent of the minimum amount
necessary for membership, shall be exempt from attachment, execution, or garnishment
for the debts of the owner. If any holdings in excess of this amount are subject to such
liability, the directors of the association may either admit the purchaser thereof to
membership, or may, if and when there are sufficient surplus funds, purchase from him
such holdings at par value.