Space of modular forms of level 1120, weight 2, and Character 1120.ee

• Label: 1120.2.ee
• Level: $1120$
• Weight: $2$
• Character orbit: 1120.ee
• Rep. character: $\chi_{1120}(19,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1504$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1120 = 2^{5} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1120.ee (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1120 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1120, [\chi])\).

	Total	New	Old
Modular forms	1568	1568	0
Cusp forms	1504	1504	0
Eisenstein series	64	64	0

Trace form

\( 1504 q - 8 q^{4} - 12 q^{5} - 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1120, [\chi])\) into newform subspaces

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