Space of modular forms of level 1332, weight 2, and Character 1332.cs

• Label: 1332.2.cs
• Level: $1332$
• Weight: $2$
• Character orbit: 1332.cs
• Rep. character: $\chi_{1332}(215,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $456$
• Sturm bound: $456$

Defining parameters

Level:	\( N \)	\(=\)	\( 1332 = 2^{2} \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1332.cs (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 444 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1332, [\chi])\).

	Total	New	Old
Modular forms	1416	456	960
Cusp forms	1320	456	864
Eisenstein series	96	0	96

Trace form

\( 456 q + 48 q^{13} + 12 q^{16} - 12 q^{22} + 12 q^{28} - 24 q^{37} - 60 q^{40} + 36 q^{46} - 72 q^{49} - 60 q^{52} - 72 q^{58} - 24 q^{61} + 204 q^{70} + 12 q^{76} + 180 q^{82} - 12 q^{85} + 72 q^{94}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1332, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1332, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1332, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(444, [\chi])\)\(^{\oplus 2}\)