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

• Label: 1166.2.l
• Level: $1166$
• Weight: $2$
• Character orbit: 1166.l
• Rep. character: $\chi_{1166}(83,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $432$
• Sturm bound: $324$

Defining parameters

Level:	\( N \)	\(=\)	\( 1166 = 2 \cdot 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1166.l (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 583 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(324\)

Dimensions

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

	Total	New	Old
Modular forms	1328	432	896
Cusp forms	1264	432	832
Eisenstein series	64	0	64

Trace form

432 * q + 4 * q^3 + 4 * q^5 - 16 * q^12 + 4 * q^14 - 32 * q^15 + 108 * q^16 - 4 * q^20 + 8 * q^23 + 32 * q^26 - 32 * q^27 + 60 * q^30 - 16 * q^31 + 100 * q^33 - 100 * q^35 - 108 * q^36 + 60 * q^39 - 20 * q^41 - 72 * q^42 + 8 * q^44 - 32 * q^45 + 72 * q^47 - 4 * q^48 - 76 * q^49 - 40 * q^50 - 80 * q^51 + 16 * q^53 + 48 * q^55 + 16 * q^56 - 64 * q^58 + 120 * q^61 + 160 * q^63 + 152 * q^67 - 48 * q^69 - 4 * q^71 + 40 * q^72 - 20 * q^73 + 28 * q^75 + 88 * q^77 + 60 * q^79 - 4 * q^80 + 68 * q^81 - 60 * q^83 + 40 * q^84 - 80 * q^85 - 16 * q^86 - 20 * q^88 - 144 * q^89 + 12 * q^92 + 120 * q^94 - 80 * q^95 - 24 * q^97 - 264 * 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

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