Space of modular forms of level 2142, weight 2, and Character 2142.cv

• Label: 2142.2.cv
• Level: $2142$
• Weight: $2$
• Character orbit: 2142.cv
• Rep. character: $\chi_{2142}(83,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $1152$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2142 = 2 \cdot 3^{2} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2142.cv (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1071 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2142, [\chi])\).

	Total	New	Old
Modular forms	3520	1152	2368
Cusp forms	3392	1152	2240
Eisenstein series	128	0	128

Trace form

\( 1152 q + 64 q^{15} + 576 q^{16} - 32 q^{18} + 144 q^{23} + 16 q^{39} + 24 q^{42} - 48 q^{51} - 80 q^{60} + 48 q^{63} - 48 q^{65} - 72 q^{77} + 64 q^{78} - 16 q^{84} + 144 q^{93} + 304 q^{99}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2142, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2142, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2142, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1071, [\chi])\)\(^{\oplus 2}\)