Space of modular forms of level 2394, weight 4, and Character 2394.cu

• Label: 2394.4.cu
• Level: $2394$
• Weight: $4$
• Character orbit: 2394.cu
• Rep. character: $\chi_{2394}(265,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $960$
• Sturm bound: $1920$

Defining parameters

Level:	\( N \)	\(=\)	\( 2394 = 2 \cdot 3^{2} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2394.cu (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1197 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2394, [\chi])\).

	Total	New	Old
Modular forms	2896	960	1936
Cusp forms	2864	960	1904
Eisenstein series	32	0	32

Trace form

\( 960 q + 1920 q^{4} + 24 q^{7} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2394, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2394, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2394, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(1197, [\chi])\)\(^{\oplus 2}\)