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High Quality Content by WIKIPEDIA articles! In mathematics, the Nagell Lutz theorem is a result in the diophantine geometry of elliptic curves, which describes rational torsion points on elliptic curves over the integers. Suppose that the equation y^2 = x^3 + ax^2 + bx + c defines a non-singular cubic curve with integer coefficients a, b, c, and let D be the discriminant of the cubic polynomial on the right side: D = -4a^3c + a^2b^2 + 18abc - 4b^3 - 27c^2. If P = (x,y) is a rational point of finite order on C, for the elliptic curve group law,