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Properties

Label 2592.2.bn
Level $2592$
Weight $2$
Character orbit 2592.bn
Rep. character $\chi_{2592}(107,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $1520$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2592 = 2^{5} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2592.bn (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 288 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 3552 1552 2000
Cusp forms 3360 1520 1840
Eisenstein series 192 32 160

Trace form

\( 1520 q + 8 q^{4} + 8 q^{7} + O(q^{10}) \) \( 1520 q + 8 q^{4} + 8 q^{7} - 16 q^{10} + 8 q^{13} + 8 q^{16} - 16 q^{19} + 8 q^{22} + 8 q^{25} - 16 q^{28} + 24 q^{34} - 16 q^{37} + 8 q^{40} + 8 q^{43} - 16 q^{46} + 8 q^{52} - 16 q^{55} - 64 q^{58} + 8 q^{61} - 16 q^{64} + 8 q^{67} + 8 q^{70} - 16 q^{73} + 128 q^{76} + 16 q^{79} - 16 q^{82} + 48 q^{85} + 8 q^{88} - 16 q^{91} - 8 q^{94} + 16 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(288, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)