Space of modular forms of level 2520, weight 2, and Character 2520.du

• Label: 2520.2.du
• Level: $2520$
• Weight: $2$
• Character orbit: 2520.du
• Rep. character: $\chi_{2520}(509,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1136$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2520.du (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2520 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

\( 1136 q - 4 q^{4} + 12 q^{6} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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