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Properties

Label 2550.2.bv
Level $2550$
Weight $2$
Character orbit 2550.bv
Rep. character $\chi_{2550}(203,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1440$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 2550 = 2 \cdot 3 \cdot 5^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2550.bv (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1275 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2550, [\chi])\).

Total New Old
Modular forms 4384 1440 2944
Cusp forms 4256 1440 2816
Eisenstein series 128 0 128

Trace form

\( 1440 q + O(q^{10}) \) \( 1440 q - 24 q^{13} - 24 q^{15} + 360 q^{16} + 40 q^{19} + 16 q^{25} - 24 q^{30} + 40 q^{34} + 24 q^{42} + 56 q^{43} + 24 q^{52} - 40 q^{55} + 88 q^{67} - 280 q^{69} + 144 q^{70} + 120 q^{84} - 32 q^{85} + 224 q^{87} - 8 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2550, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2550, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1275, [\chi])\)\(^{\oplus 2}\)