Space of modular forms of level 3192, weight 2, and Character 3192.s

• Label: 3192.2.s
• Level: $3192$
• Weight: $2$
• Character orbit: 3192.s
• Rep. character: $\chi_{3192}(1861,\cdot)$
• Character field: $\Q$
• Dimension: $320$
• Sturm bound: $1280$

Defining parameters

Level:	\( N \)	\(=\)	\( 3192 = 2^{3} \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3192.s (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1064 \)
Character field:			\(\Q\)
Sturm bound:			\(1280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3192, [\chi])\).

	Total	New	Old
Modular forms	648	320	328
Cusp forms	632	320	312
Eisenstein series	16	0	16

Trace form

\( 320 q - 320 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3192, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3192, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3192, [\chi]) \cong \)