Space of modular forms of level 6664, weight 2, and Character 6664.q

• Label: 6664.2.q
• Level: $6664$
• Weight: $2$
• Character orbit: 6664.q
• Rep. character: $\chi_{6664}(4489,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $320$
• Sturm bound: $2016$

Defining parameters

Level:	$N$	$=$	$6664 = 2^{3} \cdot 7^{2} \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	6664.q (of order $3$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$7$
Character field:			$\Q(\zeta_{3})$
Sturm bound:			$2016$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(6664, [\chi])$.

	Total	New	Old
Modular forms	2080	320	1760
Cusp forms	1952	320	1632
Eisenstein series	128	0	128

Decomposition of $S_{2}^{\mathrm{new}}(6664, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(6664, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(6664, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(28, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(49, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(56, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(98, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(119, [\chi])$$^{\oplus 8}$$\oplus$$S_{2}^{\mathrm{new}}(196, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(238, [\chi])$$^{\oplus 6}$$\oplus$$S_{2}^{\mathrm{new}}(392, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(476, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(833, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(952, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(1666, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(3332, [\chi])$$^{\oplus 2}$