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

• Label: 2128.2.bn
• Level: $2128$
• Weight: $2$
• Character orbit: 2128.bn
• Rep. character: $\chi_{2128}(159,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $160$
• Sturm bound: $640$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	664	160	504
Cusp forms	616	160	456
Eisenstein series	48	0	48

Trace form

\( 160 q - 80 q^{9} - 12 q^{13} - 4 q^{21} - 160 q^{25} + 4 q^{37} - 36 q^{41} - 20 q^{49} + 24 q^{53} - 28 q^{57} + 36 q^{61} + 48 q^{65} - 12 q^{73} + 24 q^{77} - 32 q^{81} - 12 q^{85} - 88 q^{93}+O(q^{100}) \)

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

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