Space of modular forms of level 2240, weight 4, and Character 2240.dy

• Label: 2240.4.dy
• Level: $2240$
• Weight: $4$
• Character orbit: 2240.dy
• Rep. character: $\chi_{2240}(251,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $6144$
• Sturm bound: $1536$

Defining parameters

Level:	\( N \)	\(=\)	\( 2240 = 2^{6} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2240.dy (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 448 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2240, [\chi])\).

	Total	New	Old
Modular forms	9248	6144	3104
Cusp forms	9184	6144	3040
Eisenstein series	64	0	64

Trace form

\( 6144 q + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2240, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2240, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)