Space of modular forms of level 1560, weight 4, and Character 1560.dl

• Label: 1560.4.dl
• Level: $1560$
• Weight: $4$
• Character orbit: 1560.dl
• Rep. character: $\chi_{1560}(419,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $2000$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 1560 = 2^{3} \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1560.dl (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1560 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1560, [\chi])\).

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

Trace form

\( 2000 q - 4 q^{4} + 30 q^{6} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1560, [\chi])\) into newform subspaces

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