Space of modular forms of level 1166, weight 2, and Character 1166.g

• Label: 1166.2.g
• Level: $1166$
• Weight: $2$
• Character orbit: 1166.g
• Rep. character: $\chi_{1166}(213,\cdot)$
• Character field: $\Q(\zeta_{5})$
• Dimension: $208$
• Sturm bound: $324$

Defining parameters

Level:	\( N \)	\(=\)	\( 1166 = 2 \cdot 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1166.g (of order \(5\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 11 \)
Character field:			\(\Q(\zeta_{5})\)
Sturm bound:			\(324\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1166, [\chi])\).

	Total	New	Old
Modular forms	664	208	456
Cusp forms	632	208	424
Eisenstein series	32	0	32

Trace form

208 * q + 2 * q^2 + 4 * q^3 - 52 * q^4 + 8 * q^5 - 6 * q^6 - 12 * q^7 + 2 * q^8 - 72 * q^9 + 14 * q^11 + 4 * q^12 + 16 * q^13 - 8 * q^15 - 52 * q^16 - 8 * q^17 + 2 * q^19 + 8 * q^20 + 8 * q^21 + 14 * q^22 + 16 * q^23 - 6 * q^24 - 92 * q^25 + 4 * q^26 - 50 * q^27 + 8 * q^28 + 16 * q^29 + 24 * q^30 + 20 * q^31 - 8 * q^32 + 14 * q^33 - 4 * q^34 + 28 * q^35 - 42 * q^36 + 48 * q^37 + 8 * q^38 + 8 * q^39 + 8 * q^41 + 40 * q^42 - 12 * q^43 - 16 * q^44 + 72 * q^45 - 8 * q^46 - 24 * q^47 + 4 * q^48 - 104 * q^49 + 46 * q^50 + 46 * q^51 - 24 * q^52 + 40 * q^54 - 34 * q^57 + 12 * q^58 - 42 * q^59 - 8 * q^60 + 24 * q^62 - 96 * q^63 - 52 * q^64 - 120 * q^65 - 64 * q^66 + 28 * q^67 - 8 * q^68 - 64 * q^69 - 20 * q^70 + 44 * q^71 + 10 * q^72 + 24 * q^73 + 28 * q^74 - 98 * q^75 + 12 * q^76 + 32 * q^77 + 40 * q^78 + 24 * q^79 - 12 * q^80 - 106 * q^81 - 34 * q^82 + 18 * q^83 + 8 * q^84 + 12 * q^85 - 58 * q^86 + 104 * q^87 + 14 * q^88 + 20 * q^89 - 76 * q^90 - 52 * q^91 - 24 * q^92 + 4 * q^93 + 48 * q^94 + 36 * q^95 + 4 * q^96 - 10 * q^97 - 24 * q^98 + 46 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1166, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1166, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1166, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(22, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(583, [\chi])\)\(^{\oplus 2}\)