Space of modular forms of level 320, weight 6, and Character 320.bj

• Label: 320.6.bj
• Level: $320$
• Weight: $6$
• Character orbit: 320.bj
• Rep. character: $\chi_{320}(3,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1904$
• Sturm bound: $288$

Defining parameters

Level:	\( N \)	\(=\)	\( 320 = 2^{6} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	320.bj (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 320 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(320, [\chi])\).

	Total	New	Old
Modular forms	1936	1936	0
Cusp forms	1904	1904	0
Eisenstein series	32	32	0

Trace form

\( 1904 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8} + O(q^{10}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(320, [\chi])\) into newform subspaces

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