Space of modular forms of level 2184, weight 2, and Character 2184.el

• Label: 2184.2.el
• Level: $2184$
• Weight: $2$
• Character orbit: 2184.el
• Rep. character: $\chi_{2184}(373,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $448$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2184 = 2^{3} \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2184.el (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 728 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2184, [\chi])\).

	Total	New	Old
Modular forms	912	448	464
Cusp forms	880	448	432
Eisenstein series	32	0	32

Trace form

448 * q - 448 * q^9 - 16 * q^14 + 8 * q^16 - 8 * q^20 - 6 * q^22 + 24 * q^24 + 224 * q^25 + 6 * q^26 - 2 * q^28 - 20 * q^32 + 56 * q^34 + 20 * q^38 - 10 * q^40 + 22 * q^42 - 8 * q^44 + 16 * q^49 + 18 * q^50 - 16 * q^52 + 64 * q^55 + 18 * q^56 - 32 * q^57 + 24 * q^58 - 8 * q^60 + 36 * q^62 + 48 * q^64 + 20 * q^68 - 8 * q^70 + 64 * q^71 - 8 * q^73 - 6 * q^78 + 72 * q^80 + 448 * q^81 - 60 * q^82 + 16 * q^86 + 48 * q^87 + 24 * q^88 - 108 * q^92 - 24 * q^94 - 10 * q^96 - 16 * q^97 + 94 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2184, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2184, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2184, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)