N.M. Stat. § 64-4-10
Transfer of registration.
Whenever the owner or lessee of a registered aircraft transfers his title or interest
thereto, the registration certificate and number issued for such aircraft shall remain with
said aircraft. Upon a transfer or assignment of title or interest the owner or lessee shall
endorse such assignment upon his certificate of registration, which statement shall be
verified under oath by such owner or lessee. The owner or lessee shall deliver the
certificate of registration and registration number to the purchaser or transferee at the
time of delivery of the aircraft. If an aircraft is not registered at the time of purchase or
lease, even though the aircraft may have been purchased within the state, new or used,
the purchaser shall register it as provided herein.