Space of modular forms of level 1088, weight 2, and Character 1088.cl

• Label: 1088.2.cl
• Level: $1088$
• Weight: $2$
• Character orbit: 1088.cl
• Rep. character: $\chi_{1088}(91,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1136$
• Sturm bound: $288$

Defining parameters

Level:	\( N \)	\(=\)	\( 1088 = 2^{6} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1088.cl (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1088 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1088, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

\( 1136 q - 8 q^{2} - 8 q^{3} - 24 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1088, [\chi])\) into newform subspaces

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