Space of modular forms of level 3276, weight 2, and Character 3276.ig

• Label: 3276.2.ig
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.ig
• Rep. character: $\chi_{3276}(1063,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $552$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3276 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3276.ig (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$364$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3276, [\chi])$.

	Total	New	Old
Modular forms	1376	568	808
Cusp forms	1312	552	760
Eisenstein series	64	16	48

Trace form

552 * q + 6 * q^2 - 2 * q^4 - 8 * q^14 - 10 * q^16 - 6 * q^22 + 504 * q^25 + 4 * q^29 + 6 * q^32 - 12 * q^37 - 36 * q^46 + 14 * q^49 - 6 * q^50 + 14 * q^56 + 30 * q^58 + 16 * q^64 + 64 * q^65 - 4 * q^74 + 4 * q^77 - 72 * q^85 - 30 * q^88 + 128 * q^92 + 48 * q^98

Decomposition of $S_{2}^{\mathrm{new}}(3276, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3276, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3276, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(364, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1092, [\chi])$$^{\oplus 2}$