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

• Label: 3276.2.jl
• Level: $3276$
• Weight: $2$
• Character orbit: 3276.jl
• Rep. character: $\chi_{3276}(227,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $2656$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3276 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3276.jl (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3276$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$1344$

Dimensions

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

	Total	New	Old
Modular forms	2720	2720	0
Cusp forms	2656	2656	0
Eisenstein series	64	64	0

Trace form

2656 * q - 6 * q^4 - 12 * q^5 + 12 * q^6 + 4 * q^9 - 12 * q^10 - 12 * q^14 - 2 * q^16 - 10 * q^18 - 32 * q^21 + 4 * q^22 - 6 * q^24 + 8 * q^28 - 24 * q^29 - 6 * q^30 - 12 * q^33 + 12 * q^34 - 12 * q^36 - 8 * q^37 - 12 * q^40 - 16 * q^42 - 12 * q^45 - 20 * q^46 - 36 * q^48 - 42 * q^50 - 6 * q^52 - 18 * q^54 - 12 * q^56 - 12 * q^57 - 14 * q^58 - 12 * q^61 + 66 * q^66 + 6 * q^68 + 40 * q^70 - 6 * q^72 - 24 * q^73 + 78 * q^74 + 48 * q^77 - 40 * q^78 - 114 * q^80 + 4 * q^81 - 12 * q^82 - 126 * q^84 + 32 * q^85 - 6 * q^86 + 108 * q^90 - 84 * q^92 + 4 * q^93 - 6 * q^94 - 6 * q^96

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

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