Space of modular forms of level 1100, weight 2, and Character 1100.bf

• Label: 1100.2.bf
• Level: $1100$
• Weight: $2$
• Character orbit: 1100.bf
• Rep. character: $\chi_{1100}(39,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $704$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1100 = 2^{2} \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1100.bf (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1100 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1100, [\chi])\).

	Total	New	Old
Modular forms	736	736	0
Cusp forms	704	704	0
Eisenstein series	32	32	0

Trace form

704 * q - 5 * q^2 - q^4 - 6 * q^5 - 5 * q^8 - 170 * q^9 + 20 * q^10 - 30 * q^12 - 10 * q^13 - 14 * q^14 - 5 * q^16 - 20 * q^17 - 15 * q^18 - 5 * q^20 - 25 * q^22 - 10 * q^24 - 14 * q^25 + 22 * q^26 - 5 * q^28 - 10 * q^29 - 25 * q^30 + 20 * q^33 - 8 * q^34 - 18 * q^36 + 5 * q^38 + 20 * q^40 - 10 * q^41 + 5 * q^42 - 32 * q^44 + 28 * q^45 - 5 * q^48 + 144 * q^49 + 40 * q^50 + 30 * q^52 + 30 * q^54 - 34 * q^56 - 55 * q^58 - 12 * q^60 - 10 * q^61 - 10 * q^62 - 25 * q^64 + 11 * q^66 - 75 * q^68 - 32 * q^69 + 69 * q^70 - 65 * q^72 - 10 * q^73 - 55 * q^74 - 10 * q^77 + 20 * q^78 - 34 * q^80 - 152 * q^81 - 10 * q^82 + 50 * q^85 + 31 * q^86 - 45 * q^88 - 12 * q^89 - 35 * q^90 - 5 * q^92 + 30 * q^93 - 85 * q^96 + 105 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1100, [\chi])\) into newform subspaces

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