Space of modular forms of level 2960, weight 2, and Character 2960.eh

• Label: 2960.2.eh
• Level: $2960$
• Weight: $2$
• Character orbit: 2960.eh
• Rep. character: $\chi_{2960}(47,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $456$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2960 = 2^{4} \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2960.eh (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 740 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2960, [\chi])\).

	Total	New	Old
Modular forms	1872	456	1416
Cusp forms	1776	456	1320
Eisenstein series	96	0	96

Trace form

\( 456 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2960, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2960, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2960, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(740, [\chi])\)\(^{\oplus 3}\)