Space of modular forms of level 864, weight 5, and Character 864.bv

• Label: 864.5.bv
• Level: $864$
• Weight: $5$
• Character orbit: 864.bv
• Rep. character: $\chi_{864}(43,\cdot)$
• Character field: $\Q(\zeta_{72})$
• Dimension: $13776$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 864 = 2^{5} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 5 \)
Character orbit:	\([\chi]\)	\(=\)	864.bv (of order \(72\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 864 \)
Character field:			\(\Q(\zeta_{72})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{5}(864, [\chi])\).

	Total	New	Old
Modular forms	13872	13872	0
Cusp forms	13776	13776	0
Eisenstein series	96	96	0

Trace form

13776 * q - 24 * q^2 - 24 * q^3 - 24 * q^4 - 24 * q^5 - 24 * q^6 - 24 * q^7 - 12 * q^8 - 24 * q^9 - 12 * q^10 - 24 * q^11 - 24 * q^12 - 24 * q^13 - 24 * q^14 - 48 * q^15 - 24 * q^16 - 24 * q^18 - 12 * q^19 - 24 * q^20 - 24 * q^21 - 24 * q^22 - 24 * q^23 - 444 * q^24 - 24 * q^25 - 48 * q^26 - 24 * q^27 - 48 * q^28 - 24 * q^29 - 24 * q^30 - 24 * q^32 - 48 * q^33 - 216 * q^34 - 12 * q^35 - 24 * q^36 - 12 * q^37 - 24 * q^38 - 24 * q^39 - 24 * q^40 - 24 * q^41 - 48864 * q^42 - 24 * q^43 - 12 * q^44 - 24 * q^45 - 12 * q^46 - 48 * q^47 - 24 * q^48 - 85200 * q^50 - 996 * q^51 - 24 * q^52 - 48 * q^53 - 24 * q^54 - 48 * q^55 - 24 * q^56 - 24 * q^57 + 49116 * q^58 - 24 * q^59 - 24 * q^60 - 24 * q^61 - 12 * q^62 - 12 * q^64 - 48 * q^65 - 92376 * q^66 - 24 * q^67 - 3096 * q^68 - 24 * q^69 - 24 * q^70 - 12 * q^71 - 24 * q^72 - 12 * q^73 - 24 * q^74 - 24 * q^75 - 24 * q^76 - 24 * q^77 - 24 * q^78 - 48 * q^79 - 48 * q^80 - 48 * q^82 - 31704 * q^83 + 162996 * q^84 - 7524 * q^85 - 24 * q^86 - 24 * q^87 - 24 * q^88 - 12 * q^89 - 24 * q^90 - 12 * q^91 + 119676 * q^92 - 24 * q^93 - 24 * q^94 - 24 * q^96 - 48 * q^97 - 12 * q^98 - 24 * q^99

Decomposition of \(S_{5}^{\mathrm{new}}(864, [\chi])\) into newform subspaces

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