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

• Label: 3192.2.hp
• Level: $3192$
• Weight: $2$
• Character orbit: 3192.hp
• Rep. character: $\chi_{3192}(461,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $3792$
• Sturm bound: $1280$

Defining parameters

Level:	\( N \)	\(=\)	\( 3192 = 2^{3} \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3192.hp (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3192 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(1280\)

Dimensions

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

	Total	New	Old
Modular forms	3888	3888	0
Cusp forms	3792	3792	0
Eisenstein series	96	96	0

Trace form

\( 3792 q - 24 q^{4} - 12 q^{7} - 24 q^{9} + O(q^{10}) \)

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

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