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

• Label: 2664.2.ev
• Level: $2664$
• Weight: $2$
• Character orbit: 2664.ev
• Rep. character: $\chi_{2664}(373,\cdot)$
• 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.ev (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 - 3 * q^2 - 3 * q^4 - 6 * q^7 - 18 * q^8 - 12 * q^9 - 6 * q^10 + 9 * q^12 - 12 * q^15 - 3 * q^16 - 24 * q^17 + 15 * q^18 + 18 * q^20 + 21 * q^22 - 3 * q^24 - 6 * q^25 - 6 * q^26 - 12 * q^28 + 45 * q^30 + 27 * q^32 + 24 * q^33 - 3 * q^34 - 12 * q^36 - 6 * q^38 - 12 * q^39 + 27 * q^40 - 6 * q^41 - 42 * q^42 - 6 * q^46 - 114 * q^47 - 3 * q^48 - 6 * q^49 + 12 * q^50 - 3 * q^52 + 51 * q^54 + 6 * q^55 - 24 * q^56 - 12 * q^57 - 27 * q^58 - 9 * q^60 - 24 * q^62 - 6 * q^63 - 6 * q^64 - 6 * q^65 + 45 * q^66 + 117 * q^68 - 21 * q^70 - 24 * q^71 - 36 * q^72 - 48 * q^73 - 3 * q^74 - 3 * q^76 - 39 * q^78 - 6 * q^79 - 12 * q^81 - 18 * q^82 - 15 * q^84 + 165 * q^86 + 36 * q^87 - 9 * q^88 - 24 * q^89 - 6 * q^90 + 243 * q^92 + 9 * q^94 - 6 * q^95 + 111 * q^96 - 18 * q^97 + 9 * 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.