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 \(2\cdot 3 \cdot 7\).
> 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