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

• Label: 3276.2.fp
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.fp
• Rep. character: $\chi_{3276}(911,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $864$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3276 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3276.fp (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$36$
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	1360	864	496
Cusp forms	1328	864	464
Eisenstein series	32	0	32

Trace form

864 * q - 8 * q^9 + 56 * q^18 + 84 * q^20 - 28 * q^24 + 432 * q^25 + 8 * q^30 - 60 * q^32 + 88 * q^33 + 24 * q^34 - 20 * q^36 + 24 * q^40 + 120 * q^41 - 40 * q^42 + 48 * q^45 + 48 * q^46 + 28 * q^48 + 432 * q^49 + 24 * q^57 + 48 * q^60 + 48 * q^64 - 120 * q^66 - 48 * q^69 - 40 * q^72 + 48 * q^73 + 84 * q^74 - 24 * q^76 + 40 * q^81 - 60 * q^86 - 24 * q^88 + 36 * q^90 + 228 * q^92 + 96 * q^93 - 24 * q^94 - 76 * q^96 + 24 * 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}}(36, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(252, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(468, [\chi])$$^{\oplus 2}$