Fractal dimension of a set of points in $\mathbb{R}^2$

Question

I have a set of points in $\mathbb{R}^2$, of the form:

$\left(\frac{a}{\ell^2},\frac{b}{\ell^3}\right)$

where $\ell>0$ is an integer and $a$ and $b$ are some real positive numbers.

I am interested to know the fractal dimension of this set of points as $\ell$ becomes infinite. Is there a simple way of computing this?