Space of modular forms of level 1100, weight 6, and Character 1100.bf

• Label: 1100.6.bf
• Level: $1100$
• Weight: $6$
• Character orbit: 1100.bf
• Rep. character: $\chi_{1100}(39,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $3584$
• Sturm bound: $1080$

Defining parameters

Level:	\( N \)	\(=\)	\( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	1100.bf (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1100 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(1100, [\chi])\).

	Total	New	Old
Modular forms	3616	3616	0
Cusp forms	3584	3584	0
Eisenstein series	32	32	0

Trace form

3584 * q - 5 * q^2 - q^4 - 6 * q^5 - 5 * q^8 - 71930 * q^9 + 1420 * q^10 + 1970 * q^12 - 10 * q^13 - 134 * q^14 + 1275 * q^16 - 20 * q^17 - 1215 * q^18 - 1365 * q^20 + 6975 * q^22 - 10 * q^24 - 2734 * q^25 - 12858 * q^26 - 5 * q^28 - 10 * q^29 - 3425 * q^30 + 2420 * q^33 - 38 * q^34 - 5178 * q^36 + 155 * q^38 + 15620 * q^40 - 10 * q^41 - 36295 * q^42 + 13468 * q^44 + 31468 * q^45 - 5 * q^48 + 2084464 * q^49 - 85560 * q^50 + 10230 * q^52 + 38880 * q^54 - 67234 * q^56 - 191305 * q^58 + 68868 * q^60 - 10 * q^61 - 10 * q^62 + 1895 * q^64 - 105299 * q^66 - 248275 * q^68 + 142048 * q^69 - 34491 * q^70 + 226135 * q^72 - 10 * q^73 - 30155 * q^74 - 10 * q^77 + 38870 * q^78 + 86526 * q^80 - 5669192 * q^81 - 160 * q^82 - 39550 * q^85 + 47161 * q^86 - 163845 * q^88 - 12 * q^89 - 38885 * q^90 - 5 * q^92 - 459570 * q^93 - 249685 * q^96 + 735805 * q^98

Decomposition of \(S_{6}^{\mathrm{new}}(1100, [\chi])\) into newform subspaces

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