Space of modular forms of level 1881, weight 2, and Character 1881.eb

• Label: 1881.2.eb
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.eb
• Rep. character: $\chi_{1881}(82,\cdot)$
• Character field: $\Q(\zeta_{45})$
• Dimension: $2352$
• Sturm bound: $480$

Defining parameters

Level:	$N$	$=$	$1881 = 3^{2} \cdot 11 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1881.eb (of order $45$ and degree $24$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$209$
Character field:			$\Q(\zeta_{45})$
Sturm bound:			$480$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(1881, [\chi])$.

	Total	New	Old
Modular forms	5952	2448	3504
Cusp forms	5568	2352	3216
Eisenstein series	384	96	288

Trace form

2352 * q + 18 * q^2 - 18 * q^4 + 18 * q^5 + 27 * q^8 - 48 * q^10 + 9 * q^11 - 18 * q^13 - 6 * q^14 - 30 * q^16 + 36 * q^17 - 18 * q^19 + 174 * q^20 - 6 * q^22 + 48 * q^23 - 18 * q^25 + 69 * q^26 - 42 * q^28 - 45 * q^29 - 3 * q^31 + 42 * q^32 - 36 * q^34 + 36 * q^35 - 12 * q^37 + 102 * q^38 - 180 * q^40 + 114 * q^41 - 96 * q^43 + 153 * q^44 - 57 * q^46 - 30 * q^47 + 270 * q^49 + 3 * q^50 + 63 * q^52 + 9 * q^53 + 72 * q^55 + 108 * q^56 - 12 * q^58 - 105 * q^59 - 102 * q^61 + 114 * q^62 + 243 * q^64 - 132 * q^65 - 186 * q^67 + 3 * q^68 + 249 * q^70 + 24 * q^71 + 72 * q^73 - 18 * q^74 - 324 * q^76 + 228 * q^77 - 18 * q^79 - 174 * q^80 + 27 * q^82 + 3 * q^83 - 162 * q^85 - 18 * q^86 - 54 * q^88 + 174 * q^89 - 30 * q^91 - 90 * q^92 + 222 * q^94 + 84 * q^95 + 27 * q^97 + 66 * q^98

Decomposition of $S_{2}^{\mathrm{new}}(1881, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(1881, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(1881, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(209, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(627, [\chi])$$^{\oplus 2}$