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

• Label: 2912.2.ka
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.ka
• Rep. character: $\chi_{2912}(219,\cdot)$
• 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.ka (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 - 4 * q^2 + 4 * q^3 - 4 * q^5 - 16 * q^6 - 12 * q^7 - 16 * q^8 + 4 * q^9 - 12 * q^10 - 4 * q^11 - 16 * q^13 - 72 * q^14 - 32 * q^15 - 8 * q^16 - 36 * q^18 - 4 * q^19 + 16 * q^20 + 16 * q^21 - 80 * q^22 - 4 * q^24 - 4 * q^26 - 32 * q^27 - 20 * q^28 - 8 * q^29 - 12 * q^30 - 4 * q^32 - 8 * q^33 - 24 * q^34 - 4 * q^35 - 24 * q^36 - 4 * q^37 - 120 * q^38 - 4 * q^39 - 8 * q^40 - 8 * q^41 + 36 * q^42 - 24 * q^43 + 12 * q^44 + 60 * q^45 + 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^50 - 72 * q^51 - 4 * q^52 - 8 * q^53 + 44 * q^54 - 8 * q^55 + 16 * q^56 - 4 * q^58 + 28 * q^59 - 84 * q^60 + 4 * q^61 + 48 * q^62 - 56 * q^63 - 8 * q^65 - 8 * q^66 - 4 * q^67 - 136 * q^68 - 24 * q^69 - 8 * q^70 + 56 * q^71 + 84 * q^72 - 8 * q^74 - 16 * q^76 + 28 * q^77 + 128 * q^78 - 16 * q^79 - 4 * q^80 - 28 * q^82 - 16 * q^83 + 116 * q^84 - 36 * q^85 + 12 * q^86 - 8 * q^87 - 12 * q^88 - 8 * q^89 + 60 * q^91 - 32 * q^92 - 28 * q^93 + 28 * q^94 - 228 * q^96 - 32 * q^97 - 60 * q^98 + 8 * q^99

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

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