Space of modular forms of level 2340, weight 2, and Character 2340.fk

• Label: 2340.2.fk
• Level: $2340$
• Weight: $2$
• Character orbit: 2340.fk
• Rep. character: $\chi_{2340}(799,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1984$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 2340 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2340.fk (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2340 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2340, [\chi])\).

	Total	New	Old
Modular forms	2048	2048	0
Cusp forms	1984	1984	0
Eisenstein series	64	64	0

Trace form

1984 * q - 12 * q^4 - 4 * q^5 - 8 * q^9 - 12 * q^10 - 8 * q^14 + 4 * q^16 - 18 * q^20 + 8 * q^21 + 20 * q^24 - 32 * q^26 + 8 * q^29 - 6 * q^30 - 12 * q^34 - 12 * q^36 - 4 * q^40 - 8 * q^41 - 64 * q^44 + 12 * q^45 - 8 * q^46 - 46 * q^50 - 136 * q^54 + 46 * q^60 - 16 * q^61 - 4 * q^65 - 28 * q^66 - 24 * q^69 - 14 * q^70 - 8 * q^74 + 28 * q^76 + 58 * q^80 - 8 * q^81 + 108 * q^84 + 36 * q^85 + 64 * q^86 - 32 * q^89 - 114 * q^90 + 88 * q^94 - 72 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(2340, [\chi])\) into newform subspaces

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