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

• Label: 1932.2.c
• Level: $1932$
• Weight: $2$
• Character orbit: 1932.c
• Rep. character: $\chi_{1932}(139,\cdot)$
• Character field: $\Q$
• Dimension: $176$
• Sturm bound: $768$

Defining parameters

Level:	\( N \)	\(=\)	\( 1932 = 2^{2} \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1932.c (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 28 \)
Character field:			\(\Q\)
Sturm bound:			\(768\)

Dimensions

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

	Total	New	Old
Modular forms	392	176	216
Cusp forms	376	176	200
Eisenstein series	16	0	16

Trace form

\( 176 q + 24 q^{8} + 176 q^{9} + O(q^{10}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1932, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1932, [\chi]) \cong \)