Space of modular forms of level 833, weight 4, and Character 833.o

• Label: 833.4.o
• Level: $833$
• Weight: $4$
• Character orbit: 833.o
• Rep. character: $\chi_{833}(30,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $704$
• Sturm bound: $336$

Defining parameters

Level:	\( N \)	\(=\)	\( 833 = 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	833.o (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 119 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(336\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(833, [\chi])\).

	Total	New	Old
Modular forms	1040	736	304
Cusp forms	976	704	272
Eisenstein series	64	32	32

Trace form

704 * q + 2 * q^3 + 1380 * q^4 - 6 * q^5 + 40 * q^6 + 34 * q^10 + 14 * q^11 - 12 * q^12 + 224 * q^13 - 5276 * q^16 - 2 * q^17 - 236 * q^18 - 392 * q^20 + 984 * q^22 - 26 * q^23 - 212 * q^24 + 116 * q^27 - 792 * q^29 - 1860 * q^30 + 90 * q^31 + 1164 * q^33 + 312 * q^34 - 598 * q^37 - 668 * q^38 - 916 * q^39 - 808 * q^40 - 344 * q^41 + 922 * q^44 + 1264 * q^45 - 796 * q^46 - 1692 * q^47 + 764 * q^48 + 2288 * q^50 - 426 * q^51 - 84 * q^52 + 716 * q^54 + 1648 * q^55 - 324 * q^57 + 432 * q^58 - 162 * q^61 - 3036 * q^62 - 41392 * q^64 + 804 * q^65 + 1116 * q^67 - 2256 * q^68 - 1280 * q^69 + 536 * q^71 + 4172 * q^72 + 1394 * q^73 + 3512 * q^74 + 3852 * q^75 - 6428 * q^78 - 426 * q^79 - 958 * q^80 + 28716 * q^81 + 1584 * q^82 + 14144 * q^85 - 6520 * q^86 + 5200 * q^88 - 4588 * q^89 - 7492 * q^90 - 3040 * q^92 - 2874 * q^95 + 5036 * q^96 + 56 * q^97 + 25952 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(833, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(833, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(833, [\chi]) \simeq \) \(S_{4}^{\mathrm{new}}(119, [\chi])\)\(^{\oplus 2}\)