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Properties

Label 2592.2.bf
Level $2592$
Weight $2$
Character orbit 2592.bf
Rep. character $\chi_{2592}(145,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $204$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2592 = 2^{5} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2592.bf (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 216 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 2736 228 2508
Cusp forms 2448 204 2244
Eisenstein series 288 24 264

Trace form

\( 204 q + 12 q^{7} + O(q^{10}) \) \( 204 q + 12 q^{7} + 6 q^{17} - 12 q^{23} - 12 q^{25} + 12 q^{31} + 24 q^{41} - 12 q^{47} - 12 q^{49} + 24 q^{55} + 12 q^{65} - 90 q^{71} - 6 q^{73} + 12 q^{79} + 6 q^{89} - 42 q^{95} - 12 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(216, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(432, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(648, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1296, [\chi])\)\(^{\oplus 2}\)