Space of modular forms of level 1872, weight 4, and Character 1872.bi

• Label: 1872.4.bi
• Level: $1872$
• Weight: $4$
• Character orbit: 1872.bi
• Rep. character: $\chi_{1872}(161,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $168$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1872.bi (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 39 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1872, [\chi])\).

	Total	New	Old
Modular forms	2064	168	1896
Cusp forms	1968	168	1800
Eisenstein series	96	0	96

Trace form

\( 168 q - 72 q^{7} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(1872, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1872, [\chi]) \cong \)