Space of modular forms of level 1344, weight 4, and Character 1344.cx

• Label: 1344.4.cx
• Level: $1344$
• Weight: $4$
• Character orbit: 1344.cx
• Rep. character: $\chi_{1344}(11,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $12224$
• Sturm bound: $1024$

Defining parameters

Level:	\( N \)	\(=\)	\( 1344 = 2^{6} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1344.cx (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1344 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(1024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1344, [\chi])\).

	Total	New	Old
Modular forms	12352	12352	0
Cusp forms	12224	12224	0
Eisenstein series	128	128	0

Trace form

12224 * q - 8 * q^3 - 16 * q^4 - 32 * q^6 - 32 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 64 * q^13 - 32 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 16 * q^21 - 64 * q^22 + 1992 * q^24 - 16 * q^25 - 32 * q^27 - 32 * q^28 - 2328 * q^30 - 32 * q^31 - 64 * q^34 + 1728 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 + 3144 * q^42 - 64 * q^43 - 8 * q^45 - 16 * q^46 - 32 * q^48 - 32 * q^49 - 8 * q^51 + 3296 * q^52 - 8 * q^54 - 64 * q^55 - 32 * q^57 - 16 * q^58 - 8 * q^60 - 16 * q^61 + 12032 * q^64 + 120 * q^66 - 6544 * q^67 - 32 * q^69 - 32 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 - 64 * q^76 - 32 * q^78 - 16 * q^79 - 8 * q^81 + 6944 * q^82 - 4160 * q^84 - 64 * q^85 - 8 * q^87 - 16 * q^88 + 18688 * q^90 - 32 * q^91 + 424 * q^93 - 16 * q^94 - 12928 * q^96 - 32 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(1344, [\chi])\) into newform subspaces

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