Space of modular forms of level 2128, weight 2, and Character 2128.fs

• Label: 2128.2.fs
• Level: $2128$
• Weight: $2$
• Character orbit: 2128.fs
• Rep. character: $\chi_{2128}(111,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $480$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 2128 = 2^{4} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2128.fs (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 532 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2128, [\chi])\).

	Total	New	Old
Modular forms	1992	480	1512
Cusp forms	1848	480	1368
Eisenstein series	144	0	144

Trace form

\( 480 q + 12 q^{21} - 72 q^{53} + 72 q^{65} - 72 q^{77} + 72 q^{85} + 48 q^{93}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2128, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2128, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2128, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 3}\)