Space of modular forms of level 2664, weight 2, and Character 2664.em

• Label: 2664.2.em
• Level: $2664$
• Weight: $2$
• Character orbit: 2664.em
• Rep. character: $\chi_{2664}(43,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1808$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2664.em (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2664 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(912\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2664, [\chi])\).

	Total	New	Old
Modular forms	1840	1840	0
Cusp forms	1808	1808	0
Eisenstein series	32	32	0

Trace form

1808 * q - 2 * q^2 - 8 * q^6 - 8 * q^8 - 16 * q^9 - 16 * q^10 - 20 * q^12 - 4 * q^16 - 16 * q^17 + 38 * q^18 - 16 * q^19 + 28 * q^20 - 10 * q^22 - 2 * q^24 - 16 * q^26 - 22 * q^32 - 40 * q^33 - 4 * q^34 - 56 * q^35 - 60 * q^38 + 2 * q^42 - 4 * q^43 - 176 * q^44 - 16 * q^46 + 848 * q^49 + 56 * q^51 + 14 * q^52 + 22 * q^54 - 16 * q^56 + 16 * q^57 - 4 * q^59 + 2 * q^60 - 48 * q^66 + 42 * q^68 + 24 * q^70 + 46 * q^72 + 82 * q^74 - 40 * q^75 + 6 * q^76 + 4 * q^80 - 16 * q^81 - 16 * q^82 - 8 * q^83 - 52 * q^84 - 4 * q^86 + 14 * q^88 - 16 * q^89 - 288 * q^90 - 72 * q^91 + 32 * q^92 - 10 * q^94 + 92 * q^96 - 4 * q^97 - 28 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2664, [\chi])\) into newform subspaces

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