Space of modular forms of level 912, weight 3, and Character 912.w

• Label: 912.3.w
• Level: $912$
• Weight: $3$
• Character orbit: 912.w
• Rep. character: $\chi_{912}(227,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $632$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	912.w (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 912 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(912, [\chi])\).

	Total	New	Old
Modular forms	648	648	0
Cusp forms	632	632	0
Eisenstein series	16	16	0

Trace form

\( 632 q - 8 q^{4} - 4 q^{6} - 16 q^{7} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(912, [\chi])\) into newform subspaces

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