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

• Label: 2394.4.i
• Level: $2394$
• Weight: $4$
• Character orbit: 2394.i
• Rep. character: $\chi_{2394}(1255,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $864$
• Sturm bound: $1920$

Defining parameters

Level:	\( N \)	\(=\)	\( 2394 = 2 \cdot 3^{2} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2394.i (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 63 \)
Character field:			\(\Q(\zeta_{3})\)
Sturm bound:			\(1920\)

Dimensions

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

	Total	New	Old
Modular forms	2896	864	2032
Cusp forms	2864	864	2000
Eisenstein series	32	0	32

Trace form

\( 864 q + 3456 q^{4} - 40 q^{5} - 16 q^{6} - 8 q^{9} + O(q^{10}) \)

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

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