Space of modular forms of level 280, weight 6, and Character 280.ba

• Label: 280.6.ba
• Level: $280$
• Weight: $6$
• Character orbit: 280.ba
• Rep. character: $\chi_{280}(19,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $472$
• Sturm bound: $288$

Defining parameters

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	280.ba (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 280 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(280, [\chi])\).

	Total	New	Old
Modular forms	488	488	0
Cusp forms	472	472	0
Eisenstein series	16	16	0

Trace form

\( 472 q - 2 q^{4} - 18472 q^{9} + O(q^{10}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(280, [\chi])\) into newform subspaces

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