Space of modular forms of level 2280, weight 2, and Character 2280.da

• Label: 2280.2.da
• Level: $2280$
• Weight: $2$
• Character orbit: 2280.da
• Rep. character: $\chi_{2280}(259,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $480$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2280.da (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 760 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2280, [\chi])\).

	Total	New	Old
Modular forms	976	480	496
Cusp forms	944	480	464
Eisenstein series	32	0	32

Trace form

\( 480 q + 2 q^{4} + 2 q^{6} - 240 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2280, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2280, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(760, [\chi])\)\(^{\oplus 2}\)