Space of modular forms of level 144, weight 7, and Character 144.w

• Label: 144.7.w
• Level: $144$
• Weight: $7$
• Character orbit: 144.w
• Rep. character: $\chi_{144}(5,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $568$
• Sturm bound: $168$

Defining parameters

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 7 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 144 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(168\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{7}(144, [\chi])\).

	Total	New	Old
Modular forms	584	584	0
Cusp forms	568	568	0
Eisenstein series	16	16	0

Trace form

\( 568 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 514 q^{6} + O(q^{10}) \)

Decomposition of \(S_{7}^{\mathrm{new}}(144, [\chi])\) into newform subspaces

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