Space of modular forms of level 2064, weight 2, and Character 2064.bu

• Label: 2064.2.bu
• Level: $2064$
• Weight: $2$
• Character orbit: 2064.bu
• Rep. character: $\chi_{2064}(565,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $704$
• Sturm bound: $704$

Defining parameters

Level:	\( N \)	\(=\)	\( 2064 = 2^{4} \cdot 3 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2064.bu (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 688 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2064, [\chi])\).

	Total	New	Old
Modular forms	1424	704	720
Cusp forms	1392	704	688
Eisenstein series	32	0	32

Trace form

704 * q + 8 * q^4 - 32 * q^11 + 8 * q^12 + 12 * q^14 - 8 * q^16 + 4 * q^18 + 16 * q^20 - 24 * q^22 - 16 * q^29 - 8 * q^30 + 32 * q^37 + 56 * q^38 - 20 * q^40 + 40 * q^42 - 40 * q^43 + 80 * q^44 + 352 * q^49 - 28 * q^50 - 44 * q^52 - 32 * q^53 - 20 * q^58 - 64 * q^59 - 12 * q^62 - 16 * q^63 - 112 * q^64 + 8 * q^67 - 32 * q^68 - 136 * q^70 + 8 * q^72 + 28 * q^74 + 64 * q^75 + 32 * q^76 - 32 * q^77 + 40 * q^80 + 352 * q^81 + 40 * q^82 - 96 * q^84 - 80 * q^86 - 40 * q^88 + 16 * q^90 - 32 * q^91 - 136 * q^92 - 136 * q^94 + 60 * q^96 + 28 * q^98 + 16 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2064, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2064, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2064, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(688, [\chi])\)\(^{\oplus 2}\)