Space of modular forms of level 1160, weight 2, and Character 1160.cg

• Label: 1160.2.cg
• Level: $1160$
• Weight: $2$
• Character orbit: 1160.cg
• Rep. character: $\chi_{1160}(77,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $2112$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1160 = 2^{3} \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1160.cg (of order \(28\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1160 \)
Character field:			\(\Q(\zeta_{28})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1160, [\chi])\).

	Total	New	Old
Modular forms	2208	2208	0
Cusp forms	2112	2112	0
Eisenstein series	96	96	0

Trace form

2112 * q - 10 * q^2 - 28 * q^6 - 20 * q^7 - 10 * q^8 - 336 * q^9 - 16 * q^10 + 8 * q^14 - 12 * q^15 - 20 * q^16 - 40 * q^17 + 80 * q^18 - 26 * q^20 - 22 * q^22 - 20 * q^23 - 28 * q^25 - 24 * q^26 - 4 * q^30 - 48 * q^31 - 10 * q^32 - 4 * q^33 - 40 * q^34 + 12 * q^36 + 48 * q^38 + 24 * q^39 - 52 * q^40 - 48 * q^41 - 10 * q^42 + 24 * q^44 - 48 * q^46 - 28 * q^47 + 98 * q^48 - 12 * q^50 - 152 * q^52 - 4 * q^55 + 24 * q^57 - 130 * q^58 - 66 * q^60 + 84 * q^62 - 4 * q^63 - 48 * q^64 - 20 * q^65 - 24 * q^66 + 20 * q^68 + 62 * q^70 - 56 * q^71 - 26 * q^72 - 120 * q^73 - 32 * q^76 - 34 * q^78 + 14 * q^80 - 360 * q^81 + 38 * q^82 + 168 * q^84 - 68 * q^87 - 72 * q^88 + 16 * q^89 - 58 * q^90 - 34 * q^92 - 44 * q^95 - 28 * q^96 - 56 * q^97 - 14 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1160, [\chi])\) into newform subspaces

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