↑

Properties

Label 2592.2.v
Level $2592$
Weight $2$
Character orbit 2592.v
Rep. character $\chi_{2592}(325,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $752$
Sturm bound $864$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2592 = 2^{5} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2592.v (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 32 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 1776 784 992
Cusp forms 1680 752 928
Eisenstein series 96 32 64

Trace form

\( 752 q + 8 q^{4} + 8 q^{7} + O(q^{10}) \) \( 752 q + 8 q^{4} + 8 q^{7} - 16 q^{10} + 8 q^{13} + 56 q^{16} - 16 q^{19} + 8 q^{22} + 8 q^{25} - 16 q^{28} + 16 q^{31} - 8 q^{34} - 16 q^{37} + 8 q^{40} + 8 q^{43} - 16 q^{46} + 8 q^{52} - 16 q^{55} + 80 q^{58} + 8 q^{61} - 16 q^{64} - 88 q^{67} + 8 q^{70} - 16 q^{73} + 56 q^{76} - 16 q^{82} - 32 q^{85} + 8 q^{88} - 16 q^{91} + 40 q^{94} + 16 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(32, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(96, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(288, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)