Space of modular forms of level 2520, weight 2, and Character 2520.fc

• Label: 2520.2.fc
• Level: $2520$
• Weight: $2$
• Character orbit: 2520.fc
• Rep. character: $\chi_{2520}(1789,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $1136$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2520.fc (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2520 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

	Total	New	Old
Modular forms	1168	1168	0
Cusp forms	1136	1136	0
Eisenstein series	32	32	0

Trace form

1136 * q - 4 * q^4 - 12 * q^6 - 4 * q^9 - 6 * q^10 + 14 * q^14 - 14 * q^15 - 4 * q^16 + 6 * q^20 - 8 * q^24 + 2 * q^25 + 7 * q^30 - 8 * q^31 - 8 * q^34 - 36 * q^36 - 16 * q^39 + 6 * q^40 - 8 * q^41 + 12 * q^44 + 4 * q^46 - 4 * q^49 - 18 * q^50 + 8 * q^54 + 4 * q^55 - 16 * q^56 + 21 * q^60 - 16 * q^64 + 36 * q^65 - 44 * q^66 - 27 * q^70 - 32 * q^71 - 34 * q^74 - 12 * q^76 - 8 * q^79 + 27 * q^80 - 20 * q^81 + 130 * q^84 - 4 * q^86 - 16 * q^89 + 45 * q^90 + 28 * q^94 - 44 * q^95 + 24 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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