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

• Label: 1881.2.bo
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.bo
• Rep. character: $\chi_{1881}(923,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $472$
• Sturm bound: $480$

Defining parameters

Level:	$N$	$=$	$1881 = 3^{2} \cdot 11 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1881.bo (of order $6$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$1881$
Character field:			$\Q(\zeta_{6})$
Sturm bound:			$480$

Dimensions

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

	Total	New	Old
Modular forms	488	488	0
Cusp forms	472	472	0
Eisenstein series	16	16	0

Trace form

472 * q - 6 * q^3 + 460 * q^4 - 6 * q^5 + 10 * q^9 - 3 * q^11 - 30 * q^12 - 6 * q^14 - 14 * q^15 + 436 * q^16 - 24 * q^20 - 6 * q^22 + 222 * q^25 + 12 * q^27 - 4 * q^31 + 7 * q^33 + 6 * q^34 - 16 * q^36 - 16 * q^37 - 54 * q^38 + 20 * q^42 + 18 * q^44 - 30 * q^45 - 6 * q^47 - 48 * q^48 + 208 * q^49 - 7 * q^55 - 108 * q^56 - 12 * q^58 + 6 * q^59 - 76 * q^60 + 376 * q^64 - 7 * q^66 - 16 * q^67 - 26 * q^69 - 60 * q^70 - 2 * q^75 - 54 * q^77 + 14 * q^78 - 60 * q^80 + 10 * q^81 - 6 * q^82 - 33 * q^88 - 18 * q^91 - 30 * q^93 + 32 * q^97 - 21 * q^99

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

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