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

• Label: 3264.2.fw
• Level: $3264$
• Weight: $2$
• Character orbit: 3264.fw
• Rep. character: $\chi_{3264}(35,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $4096$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3264 = 2^{6} \cdot 3 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3264.fw (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 192 \)
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	4096	544
Cusp forms	4576	4096	480
Eisenstein series	64	0	64

Trace form

\( 4096 q + 80 q^{30} + 80 q^{36} + 128 q^{55} - 288 q^{58} - 96 q^{64} + 256 q^{67} - 192 q^{70} - 48 q^{78} - 160 q^{82} - 224 q^{84} - 160 q^{88} - 288 q^{90}+O(q^{100}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(3264, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3264, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(192, [\chi])\)\(^{\oplus 2}\)