Space of modular forms of level 1100, weight 4, and Character 1100.bu

• Label: 1100.4.bu
• Level: $1100$
• Weight: $4$
• Character orbit: 1100.bu
• Rep. character: $\chi_{1100}(171,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $2144$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1100.bu (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1100 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1100, [\chi])\).

	Total	New	Old
Modular forms	2176	2176	0
Cusp forms	2144	2144	0
Eisenstein series	32	32	0

Trace form

2144 * q - 6 * q^4 - 6 * q^5 - 45 * q^6 + 4750 * q^9 + 40 * q^10 + 144 * q^12 - 10 * q^13 - 9 * q^14 + 210 * q^16 - 10 * q^17 + 125 * q^18 - 5 * q^20 - 270 * q^21 - 413 * q^22 - 10 * q^24 + 246 * q^25 + 37 * q^26 - 5 * q^28 - 45 * q^30 - 90 * q^33 + 2 * q^34 - 173 * q^36 - 2 * q^37 + 982 * q^38 + 620 * q^40 - 10 * q^41 + 763 * q^42 - 77 * q^44 - 112 * q^45 - 85 * q^46 + 26 * q^48 - 24896 * q^49 + 70 * q^50 - 325 * q^52 + 610 * q^53 + 865 * q^54 - 349 * q^56 - 20 * q^57 - 682 * q^58 - 2302 * q^60 - 10 * q^61 + 2670 * q^62 + 930 * q^64 - 1250 * q^65 - 174 * q^66 + 3355 * q^68 - 972 * q^69 - 3111 * q^70 + 4280 * q^72 - 10 * q^73 - 2665 * q^74 - 386 * q^77 + 261 * q^78 - 1014 * q^80 - 41042 * q^81 + 2780 * q^82 + 1070 * q^84 + 2930 * q^85 - 1274 * q^86 - 4477 * q^88 - 12 * q^89 - 6445 * q^90 + 11370 * q^92 + 306 * q^93 - 5565 * q^94 - 140 * q^96 - 1862 * q^97 + 40 * q^98

Decomposition of \(S_{4}^{\mathrm{new}}(1100, [\chi])\) into newform subspaces

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