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

• Label: 1100.4.w
• Level: $1100$
• Weight: $4$
• Character orbit: 1100.w
• Rep. character: $\chi_{1100}(219,\cdot)$
• 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.w (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 - 16 * q^5 - 4764 * q^9 - 10 * q^12 + 42 * q^14 - 222 * q^16 + 310 * q^20 - 330 * q^22 + 152 * q^25 - 4 * q^26 - 10 * q^33 + 26 * q^34 + 358 * q^36 - 20 * q^37 - 10 * q^38 + 2150 * q^42 + 268 * q^44 + 100 * q^45 - 10 * q^48 - 101200 * q^49 - 20 * q^53 + 2052 * q^56 - 5040 * q^58 - 1490 * q^60 + 930 * q^64 + 1072 * q^66 - 540 * q^69 + 1880 * q^70 + 3420 * q^77 + 260 * q^78 + 438 * q^80 - 40620 * q^81 - 1788 * q^86 - 390 * q^88 - 12 * q^89 - 2160 * q^92 - 18620 * q^97

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

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