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

• Label: 2664.2.hc
• Level: $2664$
• Weight: $2$
• Character orbit: 2664.hc
• Rep. character: $\chi_{2664}(19,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $2256$
• Sturm bound: $912$

Defining parameters

Level:	\( N \)	\(=\)	\( 2664 = 2^{3} \cdot 3^{2} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2664.hc (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 296 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(912\)

Dimensions

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

	Total	New	Old
Modular forms	5568	2304	3264
Cusp forms	5376	2256	3120
Eisenstein series	192	48	144

Trace form

2256 * q + 12 * q^2 - 18 * q^4 + 18 * q^8 - 6 * q^10 + 36 * q^11 + 12 * q^14 - 6 * q^16 + 24 * q^17 - 24 * q^19 + 12 * q^20 - 24 * q^22 - 12 * q^25 + 6 * q^26 - 12 * q^28 + 42 * q^32 - 12 * q^34 + 24 * q^35 + 108 * q^38 - 12 * q^40 + 24 * q^41 + 66 * q^44 - 72 * q^46 - 72 * q^49 + 42 * q^50 + 78 * q^52 + 12 * q^56 - 96 * q^58 + 24 * q^59 - 48 * q^62 + 108 * q^64 - 36 * q^65 - 24 * q^67 + 162 * q^68 - 186 * q^70 - 126 * q^74 + 42 * q^76 + 144 * q^80 - 144 * q^82 + 24 * q^83 - 30 * q^86 + 24 * q^89 - 24 * q^91 - 90 * q^92 - 24 * q^94 - 24 * q^97 - 90 * 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.

Decomposition of \(S_{2}^{\mathrm{old}}(2664, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(888, [\chi])\)\(^{\oplus 2}\)