Space of modular forms of level 1344, weight 2, and Character 1344.ch

• Label: 1344.2.ch
• Level: $1344$
• Weight: $2$
• Character orbit: 1344.ch
• Rep. character: $\chi_{1344}(139,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $1024$
• Sturm bound: $512$

Defining parameters

Level:	\( N \)	\(=\)	\( 1344 = 2^{6} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1344.ch (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 448 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(512\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1344, [\chi])\).

	Total	New	Old
Modular forms	2080	1024	1056
Cusp forms	2016	1024	992
Eisenstein series	64	0	64

Trace form

\( 1024 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1344, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1344, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1344, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)