Space of modular forms of level 3360, weight 2, and Character 3360.ek

• Label: 3360.2.ek
• Level: $3360$
• Weight: $2$
• Character orbit: 3360.ek
• Rep. character: $\chi_{3360}(659,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $2304$
• Sturm bound: $1536$

Defining parameters

Level:	\( N \)	\(=\)	\( 3360 = 2^{5} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3360.ek (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 480 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3360, [\chi])\).

	Total	New	Old
Modular forms	3104	2304	800
Cusp forms	3040	2304	736
Eisenstein series	64	0	64

Trace form

\( 2304 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3360, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3360, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(480, [\chi])\)\(^{\oplus 2}\)