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

• Label: 2280.2.es
• Level: $2280$
• Weight: $2$
• Character orbit: 2280.es
• Rep. character: $\chi_{2280}(709,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1440$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2280.es (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 760 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(960\)

Dimensions

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

	Total	New	Old
Modular forms	2928	1440	1488
Cusp forms	2832	1440	1392
Eisenstein series	96	0	96

Trace form

1440 * q - 6 * q^4 + 6 * q^6 + 18 * q^10 + 36 * q^14 - 6 * q^16 + 60 * q^20 + 144 * q^31 - 6 * q^34 - 6 * q^36 + 54 * q^40 + 720 * q^49 - 18 * q^50 + 6 * q^54 + 6 * q^64 + 36 * q^70 + 96 * q^74 + 36 * q^76 - 102 * q^80 + 36 * q^84 - 120 * q^86 + 18 * q^90 - 144 * q^94 - 120 * q^95

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

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