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

• Label: 2912.2.kj
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.kj
• Rep. character: $\chi_{2912}(283,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $3552$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2912.kj (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2912 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(896\)

Dimensions

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

	Total	New	Old
Modular forms	3616	3616	0
Cusp forms	3552	3552	0
Eisenstein series	64	64	0

Trace form

3552 * q - 12 * q^2 + 4 * q^4 - 12 * q^7 - 8 * q^9 - 24 * q^12 + 16 * q^14 - 48 * q^15 + 4 * q^16 - 24 * q^19 - 48 * q^20 - 8 * q^22 + 4 * q^23 - 24 * q^24 - 8 * q^25 - 12 * q^26 + 48 * q^28 - 8 * q^29 - 40 * q^30 - 12 * q^32 - 48 * q^33 + 48 * q^34 - 4 * q^35 - 8 * q^36 - 12 * q^37 - 24 * q^38 - 4 * q^39 - 24 * q^40 + 76 * q^42 - 8 * q^43 - 12 * q^45 - 12 * q^46 - 24 * q^50 - 32 * q^51 + 60 * q^52 - 8 * q^53 - 12 * q^54 + 36 * q^56 - 108 * q^59 + 192 * q^60 + 24 * q^62 - 32 * q^64 - 8 * q^65 - 24 * q^66 - 12 * q^68 + 108 * q^70 - 24 * q^71 + 4 * q^74 + 48 * q^75 - 16 * q^77 - 192 * q^78 - 16 * q^79 - 24 * q^80 - 12 * q^84 - 84 * q^85 - 12 * q^87 - 8 * q^88 - 12 * q^89 + 40 * q^91 + 112 * q^92 - 84 * q^93 - 120 * q^96 - 12 * q^98

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

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