Space of modular forms of level 1560, weight 2, and Character 1560.cj

• Label: 1560.2.cj
• Level: $1560$
• Weight: $2$
• Character orbit: 1560.cj
• Rep. character: $\chi_{1560}(161,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $112$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1560 = 2^{3} \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1560.cj (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 39 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1560, [\chi])\).

	Total	New	Old
Modular forms	704	112	592
Cusp forms	640	112	528
Eisenstein series	64	0	64

Trace form

\( 112 q + 8 q^{7} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1560, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1560, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1560, [\chi]) \cong \)