Space of modular forms of level 1064, weight 2, and Character 1064.dd

• Label: 1064.2.dd
• Level: $1064$
• Weight: $2$
• Character orbit: 1064.dd
• Rep. character: $\chi_{1064}(9,\cdot)$
• Character field: $\Q(\zeta_{9})$
• Dimension: $240$
• Sturm bound: $320$

Defining parameters

Level:	$N$	$=$	$1064 = 2^{3} \cdot 7 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1064.dd (of order $9$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$133$
Character field:			$\Q(\zeta_{9})$
Sturm bound:			$320$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(1064, [\chi])$.

	Total	New	Old
Modular forms	1008	240	768
Cusp forms	912	240	672
Eisenstein series	96	0	96

Trace form

240 * q + 6 * q^13 + 12 * q^15 - 6 * q^17 + 6 * q^19 - 6 * q^21 - 24 * q^23 - 24 * q^25 - 48 * q^27 + 12 * q^29 + 18 * q^35 + 12 * q^37 - 18 * q^39 + 18 * q^41 + 48 * q^43 - 6 * q^49 - 36 * q^53 - 12 * q^57 - 12 * q^59 - 48 * q^61 - 78 * q^63 + 36 * q^65 + 6 * q^67 + 48 * q^69 - 12 * q^73 - 84 * q^75 - 18 * q^77 + 54 * q^79 + 18 * q^83 - 60 * q^85 + 36 * q^87 - 36 * q^89 - 96 * q^91 + 78 * q^93 + 66 * q^95 + 24 * q^97 - 30 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(1064, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(1064, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(1064, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(133, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(266, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(532, [\chi])$$^{\oplus 2}$