Space of modular forms of level 1110, weight 4, and Character 1110.n

• Label: 1110.4.n
• Level: $1110$
• Weight: $4$
• Character orbit: 1110.n
• Rep. character: $\chi_{1110}(443,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $456$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1110.n (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 555 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1110, [\chi])\).

	Total	New	Old
Modular forms	1384	456	928
Cusp forms	1352	456	896
Eisenstein series	32	0	32

Trace form

\( 456 q - 16 q^{3} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1110, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(1110, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1110, [\chi]) \cong \)