Space of modular forms of level 1140, weight 2, and Character 1140.bz

• Label: 1140.2.bz
• Level: $1140$
• Weight: $2$
• Character orbit: 1140.bz
• Rep. character: $\chi_{1140}(119,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1392$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1140.bz (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1140 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1140, [\chi])\).

	Total	New	Old
Modular forms	1488	1488	0
Cusp forms	1392	1392	0
Eisenstein series	96	96	0

Trace form

\( 1392 q - 18 q^{4} - 12 q^{6} - 24 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1140, [\chi])\) into newform subspaces

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