The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 88 页 · Chapter III，Section 7「The Tate Module」，Definition
The $\ell$-adic representation (of $G_{\overline K/K}$ associated to $E$) is the homomorphism $\rho_\ell:G_{\overline K/K}\to\operatorname{Aut}(T_\ell(E))$ induced by the action of $G_{\overline K/K}$ on the $\ell^n$-torsion points of $E$.