Space of modular forms of level 152, weight 7, and Character 152.g

• Label: 152.7.g
• Level: $152$
• Weight: $7$
• Character orbit: 152.g
• Rep. character: $\chi_{152}(37,\cdot)$
• Character field: $\Q$
• Dimension: $118$
• Sturm bound: $140$

Defining parameters

Level:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 7 \)
Character orbit:	\([\chi]\)	\(=\)	152.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 152 \)
Character field:			\(\Q\)
Sturm bound:			\(140\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{7}(152, [\chi])\).

	Total	New	Old
Modular forms	122	122	0
Cusp forms	118	118	0
Eisenstein series	4	4	0

Trace form

\( 118 q + 130 q^{4} + 194 q^{6} - 4 q^{7} + 27698 q^{9} + O(q^{10}) \)

Decomposition of \(S_{7}^{\mathrm{new}}(152, [\chi])\) into newform subspaces

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