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Properties

Label 2880.2.bd
Level $2880$
Weight $2$
Character orbit 2880.bd
Rep. character $\chi_{2880}(1423,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $116$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2880 = 2^{6} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2880.bd (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 80 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2880, [\chi])\).

Total New Old
Modular forms 1216 124 1092
Cusp forms 1088 116 972
Eisenstein series 128 8 120

Trace form

\( 116 q + 2 q^{5} + 4 q^{7} + O(q^{10}) \) \( 116 q + 2 q^{5} + 4 q^{7} - 4 q^{11} - 4 q^{13} + 4 q^{17} + 8 q^{19} - 4 q^{23} - 24 q^{35} - 4 q^{37} - 28 q^{43} + 24 q^{47} + 4 q^{55} + 16 q^{59} - 20 q^{61} + 4 q^{65} - 20 q^{67} - 40 q^{71} + 8 q^{73} - 12 q^{85} - 12 q^{91} + 40 q^{95} - 4 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2880, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2880, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(160, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(240, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(480, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(720, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1440, [\chi])\)\(^{\oplus 2}\)