Space of modular forms of level 2592, weight 2, and Character 2592.cb

• Label: 2592.2.cb
• Level: $2592$
• Weight: $2$
• Character orbit: 2592.cb
• Rep. character: $\chi_{2592}(35,\cdot)$
• Character field: $\Q(\zeta_{72})$
• Dimension: $3408$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2592 = 2^{5} \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2592.cb (of order \(72\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 864 \)
Character field:			\(\Q(\zeta_{72})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2592, [\chi])\).

	Total	New	Old
Modular forms	10512	3504	7008
Cusp forms	10224	3408	6816
Eisenstein series	288	96	192

Trace form

3408 * q + 24 * q^2 - 24 * q^4 + 24 * q^5 - 24 * q^7 + 36 * q^8 - 12 * q^10 + 24 * q^11 - 24 * q^13 + 24 * q^14 - 24 * q^16 - 12 * q^19 + 24 * q^20 - 24 * q^22 + 24 * q^23 - 24 * q^25 - 48 * q^28 + 24 * q^29 + 24 * q^32 + 36 * q^35 - 12 * q^37 + 24 * q^38 - 24 * q^40 + 24 * q^41 - 24 * q^43 + 36 * q^44 - 12 * q^46 + 48 * q^47 + 336 * q^50 - 24 * q^52 - 48 * q^55 + 24 * q^56 - 132 * q^58 + 24 * q^59 - 24 * q^61 + 36 * q^62 - 12 * q^64 + 48 * q^65 - 24 * q^67 - 24 * q^68 - 24 * q^70 + 36 * q^71 - 12 * q^73 + 24 * q^74 - 24 * q^76 + 24 * q^77 - 48 * q^79 - 48 * q^82 - 96 * q^83 + 36 * q^85 + 24 * q^86 - 24 * q^88 + 36 * q^89 - 12 * q^91 + 252 * q^92 - 24 * q^94 - 48 * q^97 + 36 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2592, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2592, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)