Space of modular forms of level 882, weight 4, and Character 882.e

• Label: 882.4.e
• Level: $882$
• Weight: $4$
• Character orbit: 882.e
• Rep. character: $\chi_{882}(373,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $240$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	882.e (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 63 \)
Character field:			\(\Q(\zeta_{3})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(882, [\chi])\).

	Total	New	Old
Modular forms	1040	240	800
Cusp forms	976	240	736
Eisenstein series	64	0	64

Trace form

\( 240 q + 960 q^{4} - 20 q^{5} - 8 q^{6} - 36 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(882, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(882, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(882, [\chi]) \cong \)