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

• Label: 2912.2.b
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.b
• Rep. character: $\chi_{2912}(1455,\cdot)$
• Character field: $\Q$
• Dimension: $108$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2912.b (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 728 \)
Character field:			\(\Q\)
Sturm bound:			\(896\)

Dimensions

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

	Total	New	Old
Modular forms	464	116	348
Cusp forms	432	108	324
Eisenstein series	32	8	24

Trace form

\( 108 q - 108 q^{9} - 100 q^{25} - 16 q^{35} + 8 q^{43} + 12 q^{49} - 16 q^{51} + 16 q^{65} + 92 q^{81} - 52 q^{91}+O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2912, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 3}\)