Space of modular forms of level 3168, weight 2, and Character 3168.ed

• Label: 3168.2.ed
• Level: $3168$
• Weight: $2$
• Character orbit: 3168.ed
• Rep. character: $\chi_{3168}(179,\cdot)$
• Character field: $\Q(\zeta_{40})$
• Dimension: $3072$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3168 = 2^{5} \cdot 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3168.ed (of order \(40\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1056 \)
Character field:			\(\Q(\zeta_{40})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3168, [\chi])\).

	Total	New	Old
Modular forms	9344	3072	6272
Cusp forms	9088	3072	6016
Eisenstein series	256	0	256

Trace form

\( 3072 q - 32 q^{16} - 32 q^{22} + 128 q^{46} + 224 q^{52} + 64 q^{55} - 288 q^{64} + 64 q^{67} + 96 q^{70} - 80 q^{88} - 288 q^{91} - 96 q^{94}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3168, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3168, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3168, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1056, [\chi])\)\(^{\oplus 2}\)