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

• Label: 2280.2.m
• Level: $2280$
• Weight: $2$
• Character orbit: 2280.m
• Rep. character: $\chi_{2280}(1709,\cdot)$
• Character field: $\Q$
• Dimension: $472$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2280.m (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2280 \)
Character field:			\(\Q\)
Sturm bound:			\(960\)

Dimensions

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

	Total	New	Old
Modular forms	488	488	0
Cusp forms	472	472	0
Eisenstein series	16	16	0

Trace form

\( 472 q - 4 q^{4} - 12 q^{6} - 8 q^{9} + O(q^{10}) \)

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

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