Where can I find a complete classification of the $l$adic WeilDeligne representations for a local field $F$ of residual characteristic $p$ (with $p$ different from $l$)? Thanks.
Here are the references: D. Rohrlich. Elliptic curves and the WeilDeligne group. Elliptic curves and related topics, 125{157, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. or J. Tate, Number theoretic background. 

