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

• Label: 3264.2.cd
• Level: $3264$
• Weight: $2$
• Character orbit: 3264.cd
• Rep. character: $\chi_{3264}(383,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $560$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3264 = 2^{6} \cdot 3 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3264.cd (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 204 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(1152\)

Dimensions

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

	Total	New	Old
Modular forms	2400	592	1808
Cusp forms	2208	560	1648
Eisenstein series	192	32	160

Trace form

\( 560 q - 8 q^{9} + O(q^{10}) \)

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

\( S_{2}^{\mathrm{old}}(3264, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(204, [\chi])\)\(^{\oplus 5}\)