Space of modular forms of level 2340, weight 2, and Character 2340.do

• Label: 2340.2.do
• Level: $2340$
• Weight: $2$
• Character orbit: 2340.do
• Rep. character: $\chi_{2340}(779,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $992$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 2340 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2340.do (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2340 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2340, [\chi])\).

	Total	New	Old
Modular forms	1024	1024	0
Cusp forms	992	992	0
Eisenstein series	32	32	0

Trace form

\( 992 q - 4 q^{4} - 16 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2340, [\chi])\) into newform subspaces

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