Space of modular forms of level 1840, weight 4, and Character 1840.bj

• Label: 1840.4.bj
• Level: $1840$
• Weight: $4$
• Character orbit: 1840.bj
• Rep. character: $\chi_{1840}(459,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1720$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1840.bj (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1840 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1840, [\chi])\).

	Total	New	Old
Modular forms	1736	1736	0
Cusp forms	1720	1720	0
Eisenstein series	16	16	0

Trace form

\( 1720 q - 8 q^{4} - 8 q^{6} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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