Space of modular forms of level 3344, weight 2, and Character 3344.v

• Label: 3344.2.v
• Level: $3344$
• Weight: $2$
• Character orbit: 3344.v
• Rep. character: $\chi_{3344}(1253,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $952$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 3344 = 2^{4} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3344.v (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3344 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3344, [\chi])\).

	Total	New	Old
Modular forms	968	968	0
Cusp forms	952	952	0
Eisenstein series	16	16	0

Trace form

\( 952 q - 8 q^{4} - 8 q^{5} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3344, [\chi])\) into newform subspaces

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