Space of modular forms of level 3864, weight 2, and Character 3864.bm

• Label: 3864.2.bm
• Level: $3864$
• Weight: $2$
• Character orbit: 3864.bm
• Rep. character: $\chi_{3864}(2483,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1520$
• Sturm bound: $1536$

Defining parameters

Level:	\( N \)	\(=\)	\( 3864 = 2^{3} \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3864.bm (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3864 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3864, [\chi])\).

	Total	New	Old
Modular forms	1552	1552	0
Cusp forms	1520	1520	0
Eisenstein series	32	32	0

Trace form

\( 1520 q - 12 q^{3} - 4 q^{4} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3864, [\chi])\) into newform subspaces

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