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

• Label: 2664.2.eu
• Level: $2664$
• Weight: $2$
• Character orbit: 2664.eu
• Rep. character: $\chi_{2664}(707,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $2712$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2664.eu (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2664 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(912\)

Dimensions

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

	Total	New	Old
Modular forms	2760	2760	0
Cusp forms	2712	2712	0
Eisenstein series	48	48	0

Trace form

2712 * q - 9 * q^2 - 12 * q^3 - 3 * q^4 - 12 * q^9 - 6 * q^10 + 9 * q^12 - 18 * q^14 - 3 * q^16 - 27 * q^18 - 24 * q^19 - 72 * q^20 + 21 * q^22 + 9 * q^24 - 6 * q^25 - 6 * q^27 - 12 * q^28 + 33 * q^30 - 9 * q^32 + 24 * q^33 - 3 * q^34 - 12 * q^36 - 18 * q^38 - 33 * q^40 - 18 * q^41 - 6 * q^42 + 36 * q^44 - 6 * q^46 - 3 * q^48 - 6 * q^49 - 54 * q^50 - 18 * q^51 - 3 * q^52 - 75 * q^54 + 54 * q^56 - 12 * q^57 + 21 * q^58 - 18 * q^59 - 9 * q^60 - 6 * q^64 - 18 * q^65 + 45 * q^66 - 6 * q^67 - 117 * q^68 + 15 * q^70 - 144 * q^72 - 48 * q^73 - 9 * q^74 - 24 * q^75 - 3 * q^76 - 39 * q^78 - 12 * q^81 - 18 * q^82 - 18 * q^83 - 75 * q^84 - 9 * q^86 - 9 * q^88 + 132 * q^90 - 24 * q^91 - 9 * q^92 + 9 * q^94 + 45 * q^96 - 18 * q^97 + 63 * 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.