Space of modular forms of level 3328, weight 2, and Character 3328.dz

• Label: 3328.2.dz
• Level: $3328$
• Weight: $2$
• Character orbit: 3328.dz
• Rep. character: $\chi_{3328}(11,\cdot)$
• Character field: $\Q(\zeta_{192})$
• Dimension: $28544$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 3328 = 2^{8} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3328.dz (of order \(192\) and degree \(64\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3328 \)
Character field:			\(\Q(\zeta_{192})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3328, [\chi])\).

	Total	New	Old
Modular forms	28800	28800	0
Cusp forms	28544	28544	0
Eisenstein series	256	256	0

Trace form

28544 * q - 64 * q^2 - 32 * q^3 - 96 * q^4 - 64 * q^5 - 64 * q^6 - 64 * q^7 - 64 * q^8 - 32 * q^9 - 96 * q^10 - 64 * q^11 - 64 * q^13 - 128 * q^14 - 64 * q^15 - 32 * q^16 - 96 * q^17 - 64 * q^18 - 64 * q^19 - 64 * q^20 - 64 * q^21 - 32 * q^22 - 96 * q^23 - 64 * q^24 - 64 * q^26 - 128 * q^27 - 64 * q^28 - 32 * q^29 - 96 * q^30 - 64 * q^31 - 64 * q^32 - 64 * q^33 - 64 * q^34 - 32 * q^35 - 96 * q^36 - 64 * q^37 - 64 * q^39 - 128 * q^40 - 64 * q^41 - 32 * q^42 - 96 * q^43 - 64 * q^44 - 64 * q^45 - 64 * q^46 - 64 * q^47 - 32 * q^48 - 96 * q^49 - 64 * q^50 - 256 * q^52 - 128 * q^53 - 64 * q^54 - 32 * q^55 - 96 * q^56 - 64 * q^57 - 352 * q^58 - 64 * q^59 + 320 * q^60 - 32 * q^61 + 96 * q^62 - 96 * q^63 - 64 * q^65 - 128 * q^66 - 64 * q^67 - 32 * q^68 - 96 * q^69 + 704 * q^70 - 64 * q^71 + 512 * q^72 - 64 * q^73 - 32 * q^74 - 96 * q^75 - 64 * q^76 + 128 * q^78 - 128 * q^79 - 64 * q^80 - 32 * q^81 - 96 * q^82 - 64 * q^83 - 64 * q^84 - 64 * q^85 - 64 * q^86 - 32 * q^87 - 96 * q^88 - 64 * q^89 - 64 * q^91 - 128 * q^92 - 64 * q^93 - 32 * q^94 - 96 * q^95 - 64 * q^96 - 64 * q^97 - 64 * q^98 - 64 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3328, [\chi])\) into newform subspaces

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