Space of modular forms of level 1216, weight 4, and Character 1216.b

• Label: 1216.4.b
• Level: $1216$
• Weight: $4$
• Character orbit: 1216.b
• Rep. character: $\chi_{1216}(607,\cdot)$
• Character field: $\Q$
• Dimension: $120$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1216 = 2^{6} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1216.b (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 152 \)
Character field:			\(\Q\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1216, [\chi])\).

	Total	New	Old
Modular forms	492	120	372
Cusp forms	468	120	348
Eisenstein series	24	0	24

Trace form

\( 120 q - 1080 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1216, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(1216, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1216, [\chi]) \cong \)