Space of modular forms of level 1216, weight 3, and Character 1216.o

• Label: 1216.3.o
• Level: $1216$
• Weight: $3$
• Character orbit: 1216.o
• Rep. character: $\chi_{1216}(159,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $160$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1216 = 2^{6} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	1216.o (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 152 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1216, [\chi])\).

	Total	New	Old
Modular forms	664	160	504
Cusp forms	616	160	456
Eisenstein series	48	0	48

Trace form

\( 160 q - 240 q^{9} + O(q^{10}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(1216, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(1216, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(1216, [\chi]) \cong \)