Space of modular forms of level 1120, weight 2, and Character 1120.ci

• Label: 1120.2.ci
• Level: $1120$
• Weight: $2$
• Character orbit: 1120.ci
• Rep. character: $\chi_{1120}(13,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $752$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1120 = 2^{5} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1120.ci (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1120 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1120, [\chi])\).

	Total	New	Old
Modular forms	784	784	0
Cusp forms	752	752	0
Eisenstein series	32	32	0

Trace form

752 * q - 8 * q^2 - 32 * q^8 - 16 * q^11 + 16 * q^14 - 16 * q^16 - 24 * q^18 - 8 * q^21 - 8 * q^22 - 8 * q^25 + 12 * q^28 - 48 * q^30 - 8 * q^32 - 48 * q^35 - 16 * q^36 - 8 * q^37 + 12 * q^42 - 8 * q^43 - 32 * q^44 - 16 * q^46 + 8 * q^50 - 16 * q^51 - 8 * q^53 - 8 * q^56 + 56 * q^58 - 40 * q^60 - 8 * q^63 - 48 * q^64 - 16 * q^65 + 40 * q^67 - 68 * q^70 - 80 * q^71 + 56 * q^72 + 24 * q^77 + 112 * q^78 - 56 * q^84 - 8 * q^85 - 16 * q^86 - 96 * q^88 - 8 * q^91 + 96 * q^92 + 16 * q^93 - 16 * q^95 + 20 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1120, [\chi])\) into newform subspaces

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