New Mexico Constitution
Article X - County and Municipal Corporations
§ 3 Removal of county seats.
No county seat, where there are county buildings, shall be removed unless threefifths of the votes cast by qualified electors on the question of removal at an election called and held as now or hereafter provided by law, be in favor of such removal. The proposition of removal shall not be submitted in the same county oftener than once in eight years.