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

• Label: 3276.2.dz
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.dz
• Rep. character: $\chi_{3276}(1517,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $224$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3276 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3276.dz (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$819$
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	1368	224	1144
Cusp forms	1320	224	1096
Eisenstein series	48	0	48

Trace form

224 * q - 2 * q^7 + 4 * q^9 + 12 * q^11 - 3 * q^13 + 6 * q^15 - 8 * q^21 - 112 * q^25 + 18 * q^27 - 18 * q^33 + 18 * q^35 - q^37 + 9 * q^39 + 2 * q^43 + 36 * q^47 + 2 * q^49 - 8 * q^51 + 12 * q^53 - 4 * q^57 - 21 * q^61 - 13 * q^63 + 15 * q^65 + 7 * q^67 + 12 * q^69 - 12 * q^71 + 30 * q^75 + 36 * q^77 + 10 * q^79 + 32 * q^81 + 12 * q^85 - 15 * q^89 - 12 * q^91 + 10 * q^93 - 3 * q^97

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}}(819, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1638, [\chi])$$^{\oplus 2}$