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

• Label: 1120.2.dz
• Level: $1120$
• Weight: $2$
• Character orbit: 1120.dz
• Rep. character: $\chi_{1120}(157,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1504$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1120 = 2^{5} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1120.dz (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1120 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(384\)

Dimensions

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

	Total	New	Old
Modular forms	1568	1568	0
Cusp forms	1504	1504	0
Eisenstein series	64	64	0

Trace form

1504 * q - 4 * q^2 - 12 * q^3 - 12 * q^5 - 16 * q^7 - 40 * q^8 + 24 * q^10 - 8 * q^11 - 12 * q^12 + 16 * q^14 - 8 * q^16 - 20 * q^18 - 16 * q^21 - 16 * q^22 - 8 * q^23 - 4 * q^25 - 24 * q^26 + 8 * q^28 + 36 * q^30 - 48 * q^31 - 4 * q^32 - 24 * q^33 - 4 * q^35 - 32 * q^36 - 4 * q^37 - 12 * q^38 - 12 * q^40 + 80 * q^42 - 16 * q^43 + 16 * q^44 - 12 * q^45 - 8 * q^46 - 8 * q^51 - 120 * q^52 - 4 * q^53 - 168 * q^54 - 16 * q^56 - 32 * q^57 + 28 * q^58 - 20 * q^60 - 24 * q^61 - 16 * q^63 + 96 * q^64 - 8 * q^65 - 168 * q^66 - 28 * q^67 - 12 * q^68 + 32 * q^71 - 36 * q^72 - 24 * q^73 - 12 * q^75 + 20 * q^77 - 56 * q^78 - 12 * q^80 - 156 * q^82 - 56 * q^84 - 16 * q^85 - 8 * q^86 - 48 * q^88 - 16 * q^91 - 56 * q^92 - 28 * q^93 - 8 * q^95 - 24 * q^96 + 56 * 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.