Space of modular forms of level 2160, weight 4, and Character 2160.u

• Label: 2160.4.u
• Level: $2160$
• Weight: $4$
• Character orbit: 2160.u
• Rep. character: $\chi_{2160}(539,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1152$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2160 = 2^{4} \cdot 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2160.u (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 240 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2160, [\chi])\).

	Total	New	Old
Modular forms	2616	1152	1464
Cusp forms	2568	1152	1416
Eisenstein series	48	0	48

Trace form

\( 1152 q + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(2160, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(2160, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(2160, [\chi]) \cong \)