Torsion point of an elliptic curve (source code)

= Torsion point of an elliptic curve
{title2=$E[n]$}

= Torsion points of an elliptic curve
{synonym}

The $n$-torsion subgroup $E[n]$ is the kernel of multiplication by $n$. When the characteristic does not divide $n$, it is isomorphic over an algebraic closure to $(\mathbb Z/n\mathbb Z)^2$.