Space of modular forms of level 2912, weight 2, and Character 2912.cq

• Label: 2912.2.cq
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.cq
• Rep. character: $\chi_{2912}(159,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $224$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2912.cq (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 364 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2912, [\chi])\).

	Total	New	Old
Modular forms	928	224	704
Cusp forms	864	224	640
Eisenstein series	64	0	64

Trace form

\( 224 q - 112 q^{9} + 24 q^{13} + 16 q^{21} + 112 q^{25} + 32 q^{37} - 48 q^{41} - 8 q^{53} + 64 q^{57} + 24 q^{61} - 40 q^{65} + 48 q^{69} + 24 q^{73} - 24 q^{77} - 96 q^{81} + 48 q^{93}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2912, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2912, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2912, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(364, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 2}\)