Space of modular forms of level 15800, weight 2, and Character 15800.bi

• Label: 15800.2.bi
• Level: $15800$
• Weight: $2$
• Character orbit: 15800.bi
• Rep. character: $\chi_{15800}(451,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $3028$
• Sturm bound: $4800$

Defining parameters

Level:	$N$	$=$	$15800 = 2^{3} \cdot 5^{2} \cdot 79$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	15800.bi (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$632$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$4800$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(15800, [\chi])$.

	Total	New	Old
Modular forms	4824	3052	1772
Cusp forms	4776	3028	1748
Eisenstein series	48	24	24

Decomposition of $S_{2}^{\mathrm{new}}(15800, [\chi])$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of $S_{2}^{\mathrm{old}}(15800, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(15800, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(632, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(3160, [\chi])$$^{\oplus 2}$