Space of modular forms of level 1080, weight 4, and Character 1080.ct

• Label: 1080.4.ct
• Level: $1080$
• Weight: $4$
• Character orbit: 1080.ct
• Rep. character: $\chi_{1080}(43,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $7728$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 1080 = 2^{3} \cdot 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1080.ct (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1080 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1080, [\chi])\).

	Total	New	Old
Modular forms	7824	7824	0
Cusp forms	7728	7728	0
Eisenstein series	96	96	0

Trace form

7728 * q - 12 * q^2 - 24 * q^3 - 24 * q^6 - 6 * q^8 - 6 * q^10 - 48 * q^11 - 12 * q^12 - 24 * q^16 - 12 * q^17 + 702 * q^18 - 12 * q^20 - 12 * q^22 - 24 * q^25 - 48 * q^26 - 24 * q^27 - 24 * q^28 - 12 * q^30 - 1392 * q^32 - 24 * q^33 - 12 * q^35 - 24 * q^36 - 60 * q^38 - 12 * q^40 - 48 * q^41 + 408 * q^42 - 24 * q^43 - 12 * q^46 - 12 * q^48 - 12 * q^50 - 48 * q^51 - 12 * q^52 - 7920 * q^56 - 348 * q^57 - 12 * q^58 - 3672 * q^60 - 6 * q^62 - 24 * q^65 - 9912 * q^66 - 24 * q^67 - 396 * q^68 - 12 * q^70 - 3084 * q^72 - 12 * q^73 - 9936 * q^75 - 792 * q^76 + 3018 * q^78 - 204 * q^80 - 48 * q^81 - 24 * q^82 - 24 * q^83 - 8340 * q^86 + 3060 * q^88 - 14532 * q^90 - 24 * q^91 + 9450 * q^92 + 5052 * q^96 - 24 * q^97 + 1932 * q^98

Decomposition of \(S_{4}^{\mathrm{new}}(1080, [\chi])\) into newform subspaces

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