Space of modular forms of level 832, weight 4, and Character 832.ct

• Label: 832.4.ct
• Level: $832$
• Weight: $4$
• Character orbit: 832.ct
• Rep. character: $\chi_{832}(115,\cdot)$
• Character field: $\Q(\zeta_{48})$
• Dimension: $5344$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 832 = 2^{6} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	832.ct (of order \(48\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 832 \)
Character field:			\(\Q(\zeta_{48})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(832, [\chi])\).

	Total	New	Old
Modular forms	5408	5408	0
Cusp forms	5344	5344	0
Eisenstein series	64	64	0

Trace form

5344 * q - 16 * q^2 - 8 * q^3 - 24 * q^4 - 16 * q^5 - 16 * q^6 - 16 * q^7 - 16 * q^8 - 8 * q^9 - 24 * q^10 - 16 * q^11 + 192 * q^12 - 16 * q^13 - 32 * q^14 - 24 * q^15 - 8 * q^16 - 24 * q^17 - 16 * q^18 - 16 * q^19 + 144 * q^20 - 16 * q^21 - 8 * q^22 - 24 * q^23 - 16 * q^24 - 16 * q^26 - 32 * q^27 + 1504 * q^28 - 8 * q^29 - 152 * q^30 - 32 * q^31 + 1224 * q^32 - 1080 * q^34 - 8 * q^35 - 24 * q^36 - 16 * q^37 + 2384 * q^39 - 32 * q^40 - 16 * q^41 - 8 * q^42 - 24 * q^43 - 16 * q^44 - 232 * q^45 - 2896 * q^46 + 14656 * q^48 - 24 * q^49 + 4248 * q^50 - 3472 * q^52 - 32 * q^53 - 16 * q^54 - 584 * q^55 + 1976 * q^56 - 16 * q^57 + 2360 * q^58 - 2768 * q^59 - 5424 * q^60 - 8 * q^61 - 24 * q^62 - 32 * q^65 - 32 * q^66 - 16 * q^67 - 2072 * q^68 - 24 * q^69 - 3256 * q^70 - 464 * q^71 - 664 * q^72 - 16 * q^73 - 8 * q^74 + 976 * q^75 - 4304 * q^76 - 5080 * q^78 - 32 * q^79 + 9264 * q^80 - 8 * q^81 - 24 * q^82 - 16 * q^83 - 8984 * q^84 + 1984 * q^85 - 1344 * q^86 - 8 * q^87 - 24 * q^88 - 16 * q^89 - 3456 * q^90 - 16 * q^91 - 32 * q^92 + 200 * q^93 + 184 * q^94 - 48 * q^95 - 22688 * q^96 + 48 * q^98 + 21016 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(832, [\chi])\) into newform subspaces

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