Space of modular forms of level 1288, weight 2, and Character 1288.bk

• Label: 1288.2.bk
• Level: $1288$
• Weight: $2$
• Character orbit: 1288.bk
• Rep. character: $\chi_{1288}(125,\cdot)$
• Character field: $\Q(\zeta_{22})$
• Dimension: $1880$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1288 = 2^{3} \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1288.bk (of order \(22\) and degree \(10\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1288 \)
Character field:			\(\Q(\zeta_{22})\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1288, [\chi])\).

	Total	New	Old
Modular forms	1960	1960	0
Cusp forms	1880	1880	0
Eisenstein series	80	80	0

Trace form

\( 1880 q - 16 q^{2} - 16 q^{4} - 22 q^{7} - 16 q^{8} - 216 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1288, [\chi])\) into newform subspaces

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