Hello All.

I have been working on this problem and I"m closing in on the end. Here is where I'm at so far:

I've solved for $\displaystyle \lambda$ and I know that $\displaystyle \lambda = (3+\sqrt{-3})/2$ $\displaystyle \in$ $\displaystyle Q[\sqrt{-3}]$. I also know that $\displaystyle \lambda$ is a prime in $\displaystyle Q[\sqrt{-3}]$.

From here, I need some help with proving this:

If $\displaystyle \lambda$ divides $\displaystyle a$ for some rational integer $\displaystyle a$ in $\displaystyle Z$, it can be proven that 3 divides $\displaystyle a$.

Can someone show me how this is done using the rest of this info?