Space of modular forms of level 2793, weight 1, and Character 2793.cy

• Label: 2793.1.cy
• Level: $2793$
• Weight: $1$
• Character orbit: 2793.cy
• Rep. character: $\chi_{2793}(122,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $0$
• Newform subspaces: $0$
• Sturm bound: $373$
• Trace bound: $0$

Defining parameters

Level:	$N$	$=$	$2793 = 3 \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$1$
Character orbit:	$[\chi]$	$=$	2793.cy (of order $42$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$2793$
Character field:			$\Q(\zeta_{42})$
Newform subspaces:			$0$
Sturm bound:			$373$
Trace bound:			$0$

Dimensions

The following table gives the dimensions of various subspaces of $M_{1}(2793, [\chi])$.

	Total	New	Old
Modular forms	48	48	0
Cusp forms	0	0	0
Eisenstein series	48	48	0

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