Space of modular forms of level 1664, weight 2, and Character 1664.dc

• Label: 1664.2.dc
• Level: $1664$
• Weight: $2$
• Character orbit: 1664.dc
• Rep. character: $\chi_{1664}(115,\cdot)$
• Character field: $\Q(\zeta_{96})$
• Dimension: $7104$
• Sturm bound: $448$

Defining parameters

Level:	\( N \)	\(=\)	\( 1664 = 2^{7} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1664.dc (of order \(96\) and degree \(32\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1664 \)
Character field:			\(\Q(\zeta_{96})\)
Sturm bound:			\(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1664, [\chi])\).

	Total	New	Old
Modular forms	7232	7232	0
Cusp forms	7104	7104	0
Eisenstein series	128	128	0

Trace form

7104 * q - 32 * q^2 - 16 * q^3 - 48 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 16 * q^9 - 48 * q^10 - 32 * q^11 - 32 * q^13 - 64 * q^14 - 32 * q^15 - 16 * q^16 - 48 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 16 * q^22 - 48 * q^23 - 32 * q^24 - 192 * q^26 - 64 * q^27 - 112 * q^28 - 16 * q^29 - 48 * q^30 - 192 * q^32 - 16 * q^33 - 112 * q^34 - 16 * q^35 - 48 * q^36 - 32 * q^37 - 32 * q^39 - 64 * q^40 - 32 * q^41 - 16 * q^42 - 48 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 16 * q^48 - 48 * q^49 - 32 * q^50 - 32 * q^52 - 64 * q^53 - 32 * q^54 - 16 * q^55 - 48 * q^56 - 32 * q^57 + 112 * q^58 + 224 * q^59 - 224 * q^60 - 16 * q^61 - 16 * q^62 - 64 * q^63 - 64 * q^66 - 32 * q^67 - 112 * q^68 - 48 * q^69 - 416 * q^70 - 160 * q^71 + 112 * q^72 - 32 * q^73 - 16 * q^74 - 176 * q^75 - 32 * q^76 - 32 * q^78 - 64 * q^79 + 96 * q^80 - 16 * q^81 - 48 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 448 * q^86 - 16 * q^87 - 208 * q^88 - 32 * q^89 + 576 * q^90 - 32 * q^91 - 64 * q^92 + 64 * q^93 - 16 * q^94 - 48 * q^95 - 32 * q^96 - 16 * q^97 - 32 * q^98 + 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1664, [\chi])\) into newform subspaces

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