Space of modular forms of level 2548, weight 2, and Character 2548.cb

• Label: 2548.2.cb
• Level: $2548$
• Weight: $2$
• Character orbit: 2548.cb
• Rep. character: $\chi_{2548}(275,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1088$
• Sturm bound: $784$

Defining parameters

Level:	$N$	$=$	$2548 = 2^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2548.cb (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$364$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$784$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2548, [\chi])$.

	Total	New	Old
Modular forms	1632	1152	480
Cusp forms	1504	1088	416
Eisenstein series	128	64	64

Trace form

1088 * q + 2 * q^2 + 4 * q^5 + 4 * q^6 - 16 * q^8 + 508 * q^9 + 6 * q^10 + 36 * q^12 + 16 * q^13 + 4 * q^16 + 30 * q^18 + 16 * q^20 - 8 * q^22 + 2 * q^24 - 8 * q^26 - 16 * q^29 + 6 * q^30 - 18 * q^32 + 28 * q^33 - 4 * q^34 - 42 * q^36 - 12 * q^37 + 60 * q^38 + 24 * q^40 + 24 * q^41 - 46 * q^44 - 12 * q^45 - 48 * q^48 - 54 * q^50 + 30 * q^52 - 14 * q^54 + 36 * q^57 - 90 * q^58 + 98 * q^60 + 4 * q^61 + 12 * q^62 - 4 * q^65 - 10 * q^66 - 60 * q^68 + 24 * q^69 - 110 * q^72 - 44 * q^73 + 116 * q^74 + 16 * q^76 + 102 * q^78 + 22 * q^80 - 408 * q^81 + 6 * q^82 - 52 * q^85 - 34 * q^86 + 150 * q^88 - 12 * q^89 - 12 * q^92 - 20 * q^93 + 10 * q^94 - 98 * q^96 + 64 * q^97

Decomposition of $S_{2}^{\mathrm{new}}(2548, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(2548, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(2548, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(364, [\chi])$$^{\oplus 2}$