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

• Label: 3864.2.be
• Level: $3864$
• Weight: $2$
• Character orbit: 3864.be
• Rep. character: $\chi_{3864}(1931,\cdot)$
• Character field: $\Q$
• Dimension: $760$
• Sturm bound: $1536$

Defining parameters

Level:	\( N \)	\(=\)	\( 3864 = 2^{3} \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3864.be (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3864 \)
Character field:			\(\Q\)
Sturm bound:			\(1536\)

Dimensions

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

	Total	New	Old
Modular forms	776	776	0
Cusp forms	760	760	0
Eisenstein series	16	16	0

Trace form

\( 760 q - 8 q^{4} - 8 q^{9} + O(q^{10}) \)

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

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