# Torsion point

**Number Theory**Level 5

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.