# Dimensions of Spaces

## `BrandtModuleDimension(D, N): RngIntElt, RngIntElt -> RngIntElt`

The dimension of the Brandt module of level $(D,N)$, computed by means of standard formulas.

## `Example: Mod Brdt:Dimension (ex-4ee604)`

In the following example we demonstrate the computation of the dimensions of the Brandt modules for the sequence of Eichler orders of index $3^i$ in a maximal order in the quaternion algebra of discriminant $2\cdot 3 \cdot 7$.

```magma
> D := 2*5*7;
> for i in [0..10] do
>     BrandtModuleDimension(D,3^i);
> end for;
2
8
24
72
216
648
1944
5832
17496
52488
157464

```