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

• Label: 3328.2.de
• Level: $3328$
• Weight: $2$
• Character orbit: 3328.de
• Rep. character: $\chi_{3328}(77,\cdot)$
• Character field: $\Q(\zeta_{64})$
• Dimension: $14272$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 3328 = 2^{8} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3328.de (of order \(64\) and degree \(32\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3328 \)
Character field:			\(\Q(\zeta_{64})\)
Sturm bound:			\(896\)

Dimensions

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

	Total	New	Old
Modular forms	14400	14400	0
Cusp forms	14272	14272	0
Eisenstein series	128	128	0

Trace form

14272 * q - 64 * q^3 - 64 * q^4 - 64 * q^9 - 64 * q^10 - 64 * q^12 - 32 * q^13 - 64 * q^14 - 64 * q^16 - 64 * q^17 - 64 * q^22 - 64 * q^23 - 64 * q^25 - 32 * q^26 - 64 * q^27 - 64 * q^29 - 64 * q^30 - 64 * q^35 - 64 * q^36 - 64 * q^38 - 32 * q^39 - 64 * q^40 - 64 * q^42 - 64 * q^43 - 64 * q^48 - 64 * q^49 - 64 * q^51 - 32 * q^52 - 64 * q^53 - 64 * q^55 - 64 * q^56 - 64 * q^61 - 64 * q^62 - 64 * q^64 - 32 * q^65 - 64 * q^66 - 64 * q^68 - 64 * q^69 - 64 * q^74 - 64 * q^75 - 64 * q^77 - 32 * q^78 - 64 * q^79 - 64 * q^81 - 64 * q^82 - 64 * q^87 - 64 * q^88 - 64 * q^90 - 32 * q^91 - 64 * q^92 - 64 * q^94 - 64 * q^95

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

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