Space of modular forms of level 2916, weight 2, and Character 2916.t

• Label: 2916.2.t
• Level: $2916$
• Weight: $2$
• Character orbit: 2916.t
• Rep. character: $\chi_{2916}(35,\cdot)$
• Character field: $\Q(\zeta_{162})$
• Dimension: $8640$
• Sturm bound: $972$

Defining parameters

Level:	\( N \)	\(=\)	\( 2916 = 2^{2} \cdot 3^{6} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2916.t (of order \(162\) and degree \(54\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 972 \)
Character field:			\(\Q(\zeta_{162})\)
Sturm bound:			\(972\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2916, [\chi])\).

	Total	New	Old
Modular forms	26568	8856	17712
Cusp forms	25920	8640	17280
Eisenstein series	648	216	432

Trace form

8640 * q + 54 * q^2 - 54 * q^4 + 108 * q^5 + 54 * q^8 - 54 * q^10 - 108 * q^13 + 54 * q^14 - 54 * q^16 + 108 * q^17 + 54 * q^20 - 54 * q^22 - 108 * q^25 + 54 * q^26 - 54 * q^28 + 108 * q^29 + 54 * q^32 - 54 * q^34 - 108 * q^37 + 54 * q^38 - 54 * q^40 + 108 * q^41 + 54 * q^44 - 54 * q^46 - 108 * q^49 + 54 * q^50 - 54 * q^52 + 108 * q^53 + 54 * q^56 - 54 * q^58 - 108 * q^61 + 54 * q^62 - 54 * q^64 + 108 * q^65 + 54 * q^68 - 54 * q^70 - 108 * q^73 + 54 * q^74 - 54 * q^76 + 108 * q^77 + 81 * q^80 - 27 * q^82 - 108 * q^85 + 54 * q^86 - 54 * q^88 + 108 * q^89 + 54 * q^92 - 54 * q^94 - 108 * q^97 + 54 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2916, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2916, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2916, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(972, [\chi])\)\(^{\oplus 2}\)