Space of modular forms of level 3264, weight 2, and Character 3264.ek

• Label: 3264.2.ek
• Level: $3264$
• Weight: $2$
• Character orbit: 3264.ek
• Rep. character: $\chi_{3264}(245,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $4576$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3264 = 2^{6} \cdot 3 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3264.ek (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3264 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3264, [\chi])\).

	Total	New	Old
Modular forms	4640	4640	0
Cusp forms	4576	4576	0
Eisenstein series	64	64	0

Trace form

4576 * q - 8 * q^3 - 32 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 + 16 * q^15 - 16 * q^16 - 32 * q^18 - 16 * q^19 + 16 * q^21 - 16 * q^22 - 8 * q^24 - 8 * q^27 - 16 * q^28 - 32 * q^30 + 32 * q^31 - 64 * q^34 - 8 * q^36 - 8 * q^39 - 16 * q^40 - 8 * q^42 - 16 * q^43 - 16 * q^45 + 16 * q^46 + 96 * q^48 - 16 * q^49 - 8 * q^51 - 32 * q^52 - 8 * q^54 + 64 * q^55 - 8 * q^57 - 16 * q^58 + 24 * q^60 - 160 * q^61 + 120 * q^63 - 128 * q^64 + 8 * q^66 - 16 * q^69 - 96 * q^70 - 8 * q^72 - 16 * q^73 + 16 * q^75 - 80 * q^76 - 272 * q^78 - 16 * q^79 + 112 * q^82 - 16 * q^85 - 16 * q^87 - 16 * q^88 - 96 * q^90 - 112 * q^91 - 8 * q^93 + 144 * q^94 - 8 * q^96 - 8 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3264, [\chi])\) into newform subspaces

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