Space of modular forms of level 2448, weight 4, and Character 2448.cu

• Label: 2448.4.cu
• Level: $2448$
• Weight: $4$
• Character orbit: 2448.cu
• Rep. character: $\chi_{2448}(803,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $5168$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2448.cu (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2448 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2448, [\chi])\).

	Total	New	Old
Modular forms	5200	5200	0
Cusp forms	5168	5168	0
Eisenstein series	32	32	0

Trace form

5168 * q - 4 * q^4 + 12 * q^6 - 4 * q^7 + 24 * q^10 - 168 * q^12 - 4 * q^13 + 144 * q^14 + 216 * q^15 - 4 * q^16 - 40 * q^18 - 6 * q^20 - 8 * q^21 + 30 * q^22 - 12 * q^23 + 388 * q^24 - 63800 * q^25 + 248 * q^28 - 12 * q^29 - 620 * q^30 - 1380 * q^32 - 16 * q^33 - 18 * q^34 - 12 * q^38 - 8 * q^39 - 432 * q^40 + 388 * q^42 - 48 * q^46 - 1280 * q^48 - 12 * q^50 + 588 * q^51 - 4 * q^52 + 1916 * q^54 - 32 * q^55 - 2064 * q^56 + 216 * q^57 - 34 * q^58 - 2932 * q^60 - 80 * q^63 - 16 * q^64 - 12 * q^65 + 756 * q^66 - 4 * q^67 + 378 * q^68 - 8 * q^69 + 1000 * q^70 + 4088 * q^72 - 5418 * q^74 + 4700 * q^78 - 16 * q^81 - 40 * q^82 - 8 * q^84 - 252 * q^85 + 8328 * q^86 - 1026 * q^88 - 12402 * q^90 + 9456 * q^92 - 108 * q^93 + 1500 * q^95 + 4678 * q^96 - 4 * q^97

Decomposition of \(S_{4}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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