Space of modular forms of level 3528, weight 2, and Character 3528.be

• Label: 3528.2.be
• Level: $3528$
• Weight: $2$
• Character orbit: 3528.be
• Rep. character: $\chi_{3528}(979,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $944$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3528 = 2^{3} \cdot 3^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3528.be (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$504$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3528, [\chi])$.

	Total	New	Old
Modular forms	1376	976	400
Cusp forms	1312	944	368
Eisenstein series	64	32	32

Trace form

944 * q + 2 * q^2 + 2 * q^4 - 16 * q^8 + 8 * q^9 + 4 * q^11 + 2 * q^16 + 22 * q^18 - 12 * q^22 - 436 * q^25 + 42 * q^30 + 2 * q^32 + 44 * q^36 - 8 * q^43 + 84 * q^44 - 8 * q^46 - 42 * q^50 + 96 * q^51 - 40 * q^57 + 10 * q^58 - 30 * q^60 - 16 * q^64 - 36 * q^65 + 4 * q^67 + 94 * q^72 + 38 * q^74 - 22 * q^78 - 8 * q^81 - 22 * q^86 + 18 * q^88 + 48 * q^92 - 52 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(3528, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3528, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3528, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(504, [\chi])$$^{\oplus 2}$