Translation on an elliptic curve
= Translation on an elliptic curve
{title2=$\tau_Q(P)=P+Q$}
For a fixed point $Q$ on an <elliptic curve>, translation is the automorphism $P\mapsto P+Q$. Its inverse is translation by $-Q$. Translations let local computations of an <invariant differential on an elliptic curve> control every point of the curve.