The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 87 页 · Chapter III,Section 7「The Tate Module」,Definition
Let $E$ be an elliptic curve and let $l\in\mathbb Z$ be a prime. The ($l$-adic) Tate module of $E$ is the group $T_l(E)=\varprojlim_n E[l^n]$, the inverse limit being taken with respect to the natural multiplication-by-$l$ maps.