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

• Label: 3276.2.hz
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.hz
• Rep. character: $\chi_{3276}(2963,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1328$
• Sturm bound: $1344$

Defining parameters

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

Trace form

1328 * q + 2 * q^4 - 4 * q^9 - 12 * q^10 - 14 * q^12 - 4 * q^13 - 6 * q^14 + 2 * q^16 + 4 * q^22 + 1256 * q^25 + 6 * q^26 - 24 * q^29 - 32 * q^30 - 36 * q^36 - 24 * q^40 + 28 * q^42 - 22 * q^48 - 4 * q^49 + 14 * q^52 + 36 * q^56 + 4 * q^61 - 16 * q^64 - 30 * q^65 - 14 * q^66 - 60 * q^69 - 60 * q^77 - 3 * q^78 - 20 * q^81 + 28 * q^88 + 126 * q^90 + 18 * q^92 - 14 * q^94

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

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