N.M. Stat. § 66-3-705
Riding on roadways and bicycle paths.
A. Every person operating a bicycle upon a roadway shall ride as near to the right
side of the roadway as practicable, exercising due care when passing a standing
vehicle or one proceeding in the same direction.
B. Persons riding bicycles upon a roadway shall not ride more than two abreast
except on paths or parts of roadways set aside for the exclusive use of bicycles.
C. Notwithstanding any provision of this section, no bicycle shall be operated on any
roadway in a manner that would create a public safety hazard.