Space of modular forms of level 3312, weight 2, and Character 3312.y

• Label: 3312.2.y
• Level: $3312$
• Weight: $2$
• Character orbit: 3312.y
• Rep. character: $\chi_{3312}(413,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $384$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3312 = 2^{4} \cdot 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3312.y (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1104 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3312, [\chi])\).

	Total	New	Old
Modular forms	1168	384	784
Cusp forms	1136	384	752
Eisenstein series	32	0	32

Trace form

\( 384 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3312, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3312, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3312, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1104, [\chi])\)\(^{\oplus 2}\)