Space of modular forms of level 2160, weight 4, and Character 2160.eo

• Label: 2160.4.eo
• Level: $2160$
• Weight: $4$
• Character orbit: 2160.eo
• Rep. character: $\chi_{2160}(229,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $15504$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2160 = 2^{4} \cdot 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2160.eo (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2160 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2160, [\chi])\).

	Total	New	Old
Modular forms	15600	15600	0
Cusp forms	15504	15504	0
Eisenstein series	96	96	0

Trace form

15504 * q - 24 * q^4 - 12 * q^5 - 24 * q^6 - 6 * q^10 - 24 * q^11 - 24 * q^14 - 24 * q^15 - 24 * q^16 - 12 * q^19 - 474 * q^20 - 24 * q^21 - 24 * q^24 - 48 * q^26 - 24 * q^29 - 12 * q^30 - 48 * q^31 - 120 * q^34 - 6 * q^35 - 24 * q^36 - 12 * q^40 - 12 * q^44 - 12 * q^45 - 12 * q^46 - 48 * q^49 - 6408 * q^50 - 348 * q^51 + 8880 * q^54 + 4092 * q^56 - 24 * q^59 - 3672 * q^60 - 24 * q^61 - 12 * q^64 - 24 * q^65 - 17292 * q^66 - 24 * q^69 + 2046 * q^70 - 24 * q^74 + 4944 * q^75 - 24 * q^76 - 48 * q^79 - 204 * q^80 - 48 * q^81 - 13476 * q^84 - 762 * q^85 + 16656 * q^86 - 4386 * q^90 - 12 * q^91 - 24 * q^94 - 24 * q^95 + 5052 * q^96 - 24 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(2160, [\chi])\) into newform subspaces

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