Torsion point

The point $$P=(2,3)$$ on the elliptic curve $$y^2=x^3+1$$ is a torsion point. That is, $nP = \underbrace{P+P+\cdots+P}_{n \text{ times}}$ is the identity for some nonzero integer $$n.$$ (Here $$+$$ denotes the group law on the curve, and the identity is the point at infinity.)

Find the smallest positive integer $$n$$ for which this is true.

×