Space of modular forms of level 1148, weight 4, and Character 1148.u

• Label: 1148.4.u
• Level: $1148$
• Weight: $4$
• Character orbit: 1148.u
• Rep. character: $\chi_{1148}(327,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1000$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1148.u (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1148 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1148, [\chi])\).

	Total	New	Old
Modular forms	1016	1016	0
Cusp forms	1000	1000	0
Eisenstein series	16	16	0

Trace form

\( 1000 q - 2 q^{2} - 2 q^{4} - 12 q^{5} - 92 q^{8} + 4424 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1148, [\chi])\) into newform subspaces

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