N.M. Stat. § 66-5-235
When the department has reasonable grounds to believe that a person is operating a motor vehicle in violation of Section 66-5-205 NMSA 1978 or has falsely affirmed the existence of a motor vehicle insurance policy or the existence of some other means of satisfying the financial responsibility requirements of the Mandatory Financial Responsibility Act, the department shall demand satisfactory evidence from the person that the person meets the requirements of that act as provided in Section 66-5-233 NMSA 1978. If the person cannot provide evidence of financial responsibility within twenty days after receipt of the department's demand for satisfactory proof of financial responsibility, the department may suspend the person's registration as provided in Section 66-5-236 NMSA 1978.
NMS § 66-5-235