Space of modular forms of level 3528, weight 1, and Character 3528.de

• Label: 3528.1.de
• Level: $3528$
• Weight: $1$
• Character orbit: 3528.de
• Rep. character: $\chi_{3528}(503,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $672$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$3528 = 2^{3} \cdot 3^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	3528.de (of order $14$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$588$
Character field:			$\Q(\zeta_{14})$
Newform subspaces:			$0$
Sturm bound:			$672$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(3528, [\chi])$.

	Total	New	Old
Modular forms	96	0	96
Cusp forms	0	0	0
Eisenstein series	96	0	96

The following table gives the dimensions of subspaces with specified projective image type.

	$D_n$	$A_4$	$S_4$	$A_5$
Dimension	0	0	0	0