The dimension of the Brandt module of level (D, N), computed by means
of standard formulas.
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 2.3 .7.
> 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
V2.28, 13 July 2023