Space of modular forms of level 1089, weight 6, and Character 1089.o

• Label: 1089.6.o
• Level: $1089$
• Weight: $6$
• Character orbit: 1089.o
• Rep. character: $\chi_{1089}(98,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $2200$
• Sturm bound: $792$

Defining parameters

Level:	\( N \)	\(=\)	\( 1089 = 3^{2} \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	1089.o (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 363 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(1089, [\chi])\).

	Total	New	Old
Modular forms	6640	2200	4440
Cusp forms	6560	2200	4360
Eisenstein series	80	0	80

Trace form

\( 2200 q - 3520 q^{4} + O(q^{10}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(1089, [\chi])\) into newform subspaces

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

Decomposition of \(S_{6}^{\mathrm{old}}(1089, [\chi])\) into lower level spaces

\( S_{6}^{\mathrm{old}}(1089, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)