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

• Label: 3344.2.cu
• Level: $3344$
• Weight: $2$
• Character orbit: 3344.cu
• Rep. character: $\chi_{3344}(175,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $720$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 3344 = 2^{4} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3344.cu (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 836 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(960\)

Dimensions

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

	Total	New	Old
Modular forms	2952	720	2232
Cusp forms	2808	720	2088
Eisenstein series	144	0	144

Trace form

\( 720 q + 36 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(3344, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3344, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1672, [\chi])\)\(^{\oplus 2}\)