Space of modular forms of level 1584, weight 4, and Character 1584.cj

• Label: 1584.4.cj
• Level: $1584$
• Weight: $4$
• Character orbit: 1584.cj
• Rep. character: $\chi_{1584}(43,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $3440$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 1584 = 2^{4} \cdot 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1584.cj (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1584 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1584, [\chi])\).

	Total	New	Old
Modular forms	3472	3472	0
Cusp forms	3440	3440	0
Eisenstein series	32	32	0

Trace form

3440 * q - 8 * q^3 - 4 * q^4 - 4 * q^5 - 2 * q^11 - 8 * q^12 - 68 * q^14 - 4 * q^16 - 4 * q^20 - 2 * q^22 - 8 * q^23 - 1104 * q^26 - 8 * q^27 - 8 * q^33 + 28 * q^34 - 264 * q^36 - 16 * q^37 - 4 * q^38 - 1212 * q^42 + 1532 * q^44 - 508 * q^45 + 12 * q^48 + 81920 * q^49 - 16 * q^53 - 16 * q^55 + 368 * q^56 - 4 * q^58 - 4 * q^59 - 2224 * q^60 - 16 * q^64 - 856 * q^66 - 4 * q^67 + 100 * q^69 + 1368 * q^70 - 32 * q^71 - 616 * q^75 - 1374 * q^77 - 3056 * q^78 - 9536 * q^80 - 16 * q^81 + 48 * q^82 + 516 * q^86 + 2086 * q^88 - 2760 * q^91 + 6816 * q^92 - 116 * q^93 - 8 * q^97 - 4118 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(1584, [\chi])\) into newform subspaces

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