Space of modular forms of level 1932, weight 2, and Character 1932.bd

• Label: 1932.2.bd
• Level: $1932$
• Weight: $2$
• Character orbit: 1932.bd
• Rep. character: $\chi_{1932}(551,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $752$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 1932 = 2^{2} \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1932.bd (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1932 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1932, [\chi])\).

	Total	New	Old
Modular forms	784	784	0
Cusp forms	752	752	0
Eisenstein series	32	32	0

Trace form

\( 752 q - 4 q^{4} - 4 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1932, [\chi])\) into newform subspaces

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