Space of modular forms of level 448, weight 6, and Character 448.bm

• Label: 448.6.bm
• Level: $448$
• Weight: $6$
• Character orbit: 448.bm
• Rep. character: $\chi_{448}(3,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $5088$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 448 = 2^{6} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	448.bm (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 448 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(448, [\chi])\).

	Total	New	Old
Modular forms	5152	5152	0
Cusp forms	5088	5088	0
Eisenstein series	64	64	0

Trace form

\( 5088 q - 8 q^{2} - 24 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{7} - 32 q^{8} - 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(448, [\chi])\) into newform subspaces

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