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

• Label: 3276.2.hm
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.hm
• Rep. character: $\chi_{3276}(797,\cdot)$
• 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.hm (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^9 - 6 * q^15 + 12 * q^23 + 112 * q^25 + 3 * q^35 - 6 * q^37 - 18 * q^39 - 4 * q^43 + 2 * q^49 + 12 * q^51 - 12 * q^57 - 30 * q^63 + 48 * q^65 - 42 * q^67 - 36 * q^71 + 36 * q^77 - 4 * q^79 + 26 * q^81 - 5 * q^91 - 48 * q^93 + 12 * q^99

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}$