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

• Label: 1881.2.et
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.et
• Rep. character: $\chi_{1881}(53,\cdot)$
• Character field: $\Q(\zeta_{90})$
• Dimension: $1920$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1881 = 3^{2} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1881.et (of order \(90\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 627 \)
Character field:			\(\Q(\zeta_{90})\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	5952	1920	4032
Cusp forms	5568	1920	3648
Eisenstein series	384	0	384

Trace form

\( 1920 q + 24 q^{22} - 144 q^{25} - 96 q^{34} + 96 q^{43} - 144 q^{46} + 276 q^{49} - 96 q^{52} + 144 q^{55} + 48 q^{58} - 96 q^{61} + 240 q^{64} + 192 q^{67} - 600 q^{70} - 288 q^{76} + 288 q^{85} + 144 q^{88}+O(q^{100}) \)

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

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