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Properties

Label 2520.2.bu
Level $2520$
Weight $2$
Character orbit 2520.bu
Rep. character $\chi_{2520}(883,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $360$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2520.bu (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 40 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 1184 360 824
Cusp forms 1120 360 760
Eisenstein series 64 0 64

Trace form

\( 360 q + O(q^{10}) \) \( 360 q - 16 q^{10} + 8 q^{16} + 8 q^{17} - 20 q^{20} - 4 q^{22} - 8 q^{25} + 32 q^{26} + 56 q^{38} - 36 q^{40} + 64 q^{43} + 48 q^{46} + 40 q^{50} - 16 q^{52} - 24 q^{56} + 52 q^{58} + 80 q^{62} - 8 q^{65} + 80 q^{68} - 40 q^{73} + 24 q^{76} + 100 q^{80} + 56 q^{82} + 80 q^{83} + 8 q^{86} - 8 q^{88} + 56 q^{92} - 8 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(280, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(840, [\chi])\)\(^{\oplus 2}\)