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

• Label: 1148.4.bm
• Level: $1148$
• Weight: $4$
• Character orbit: 1148.bm
• Rep. character: $\chi_{1148}(251,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $4000$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1148 = 2^{2} \cdot 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1148.bm (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1148 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(672\)

Dimensions

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

	Total	New	Old
Modular forms	4064	4064	0
Cusp forms	4000	4000	0
Eisenstein series	64	64	0

Trace form

\( 4000 q - 20 q^{2} - 12 q^{4} - 20 q^{8} + O(q^{10}) \)

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

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