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

• Label: 1140.2.m
• Level: $1140$
• Weight: $2$
• Character orbit: 1140.m
• Rep. character: $\chi_{1140}(379,\cdot)$
• Character field: $\Q$
• Dimension: $120$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1140 = 2^{2} \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1140.m (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 380 \)
Character field:			\(\Q\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	248	120	128
Cusp forms	232	120	112
Eisenstein series	16	0	16

Trace form

\( 120 q - 4 q^{4} - 4 q^{6} - 120 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1140, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1140, [\chi]) \cong \)