Space of modular forms of level 1248, weight 4, and Character 1248.dx

• Label: 1248.4.dx
• Level: $1248$
• Weight: $4$
• Character orbit: 1248.dx
• Rep. character: $\chi_{1248}(35,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $5344$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 1248 = 2^{5} \cdot 3 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1248.dx (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1248 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1248, [\chi])\).

	Total	New	Old
Modular forms	5408	5408	0
Cusp forms	5344	5344	0
Eisenstein series	64	64	0

Trace form

5344 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 8 * q^10 - 16 * q^12 - 16 * q^13 - 8 * q^15 - 8 * q^16 - 16 * q^18 - 8 * q^19 - 16 * q^21 + 424 * q^22 - 4 * q^24 - 32 * q^25 - 544 * q^27 - 8 * q^28 - 68 * q^30 - 8 * q^33 + 96 * q^34 + 1016 * q^36 - 8 * q^37 - 1208 * q^39 - 32 * q^40 + 676 * q^42 - 8 * q^43 - 4 * q^45 + 2872 * q^46 - 2448 * q^48 + 200 * q^51 - 3400 * q^52 - 4 * q^54 - 296 * q^55 - 16 * q^57 + 4744 * q^58 + 496 * q^60 - 8 * q^61 - 32 * q^64 - 13264 * q^66 - 8 * q^67 - 4 * q^69 - 4064 * q^70 - 4 * q^72 - 32 * q^73 + 496 * q^75 - 8 * q^76 + 14228 * q^78 - 64 * q^79 + 6952 * q^82 - 8972 * q^84 - 1008 * q^85 - 4 * q^87 + 1552 * q^88 - 9376 * q^90 + 3584 * q^91 + 104 * q^93 - 4624 * q^94 + 12336 * q^96 - 16 * q^97 - 21264 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(1248, [\chi])\) into newform subspaces

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