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

• Label: 1872.4.y
• Level: $1872$
• Weight: $4$
• Character orbit: 1872.y
• Rep. character: $\chi_{1872}(467,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $672$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1872.y (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 624 \)
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	2032	672	1360
Cusp forms	2000	672	1328
Eisenstein series	32	0	32

Trace form

\( 672 q + O(q^{10}) \)

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

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