Space of modular forms of level 9075, weight 2, and Character 9075.dt

• Label: 9075.2.dt
• Level: $9075$
• Weight: $2$
• Character orbit: 9075.dt
• Rep. character: $\chi_{9075}(166,\cdot)$
• Character field: $\Q(\zeta_{55})$
• Dimension: $26400$
• Sturm bound: $2640$

Defining parameters

Level:	$N$	$=$	$9075 = 3 \cdot 5^{2} \cdot 11^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	9075.dt (of order $55$ and degree $40$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3025$
Character field:			$\Q(\zeta_{55})$
Sturm bound:			$2640$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(9075, [\chi])$.

	Total	New	Old
Modular forms	52960	26400	26560
Cusp forms	52640	26400	26240
Eisenstein series	320	0	320

Decomposition of $S_{2}^{\mathrm{new}}(9075, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(9075, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(9075, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(3025, [\chi])$$^{\oplus 2}$