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

• Label: 1100.4.bf
• Level: $1100$
• Weight: $4$
• Character orbit: 1100.bf
• Rep. character: $\chi_{1100}(39,\cdot)$
• 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.bf (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 - 5 * q^2 - q^4 - 6 * q^5 - 5 * q^8 - 4754 * q^9 - 180 * q^10 + 50 * q^12 - 10 * q^13 - 38 * q^14 - 37 * q^16 - 20 * q^17 - 135 * q^18 + 315 * q^20 - 545 * q^22 - 10 * q^24 + 162 * q^25 + 6 * q^26 - 5 * q^28 - 10 * q^29 - 1025 * q^30 + 260 * q^33 - 14 * q^34 - 282 * q^36 + 35 * q^38 + 620 * q^40 - 10 * q^41 - 775 * q^42 + 268 * q^44 + 100 * q^45 - 5 * q^48 + 25280 * q^49 + 630 * q^52 + 1080 * q^54 - 1378 * q^56 + 3455 * q^58 - 1620 * q^60 - 10 * q^61 - 10 * q^62 + 935 * q^64 - 3083 * q^66 + 3365 * q^68 - 800 * q^69 - 1715 * q^70 + 1855 * q^72 - 10 * q^73 + 2725 * q^74 - 10 * q^77 + 1070 * q^78 + 3558 * q^80 - 40880 * q^81 - 40 * q^82 - 2950 * q^85 - 1823 * q^86 - 2565 * q^88 - 12 * q^89 - 1085 * q^90 - 5 * q^92 + 5910 * q^93 + 6875 * q^96 - 5075 * 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.