Is this language context-free?
$$L = \{a^nb^nc^{2n} \mid n \ge 0\}$$
It's tricky in my opinion because I know that $a^nb^nc^n$ is not context-free, but can I determine from this that $L$ is not context-free, too?
Thanks in advance
EDIT: I can use these closures: all the closures of regular languages, the closure of intersection of regular language with a context-free language, and closure under homorphishms