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

• Label: 1881.2.ci
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.ci
• Rep. character: $\chi_{1881}(452,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1200$
• Sturm bound: $480$

Defining parameters

Level:	$N$	$=$	$1881 = 3^{2} \cdot 11 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1881.ci (of order $18$ and degree $6$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$171$
Character field:			$\Q(\zeta_{18})$
Sturm bound:			$480$

Dimensions

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

	Total	New	Old
Modular forms	1464	1200	264
Cusp forms	1416	1200	216
Eisenstein series	48	0	48

Trace form

1200 * q + 6 * q^13 + 60 * q^15 - 54 * q^17 - 72 * q^18 + 6 * q^19 + 72 * q^23 + 42 * q^24 + 24 * q^28 + 84 * q^30 - 72 * q^34 - 60 * q^36 + 12 * q^39 + 30 * q^42 - 24 * q^43 - 36 * q^45 + 42 * q^48 - 600 * q^49 - 54 * q^51 + 48 * q^52 - 36 * q^54 + 60 * q^57 + 84 * q^60 + 42 * q^61 + 48 * q^63 - 636 * q^64 - 60 * q^66 + 84 * q^67 - 252 * q^72 - 42 * q^73 + 252 * q^74 - 36 * q^78 - 12 * q^79 - 252 * q^80 + 72 * q^81 - 72 * q^83 + 216 * q^84 + 324 * q^86 + 12 * q^87 - 108 * q^89 - 48 * q^90 - 48 * q^91 - 72 * q^93 - 216 * q^95 - 102 * q^96 + 216 * 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}}(171, [\chi])$$^{\oplus 2}$