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Properties

Label 2550.2.q
Level $2550$
Weight $2$
Character orbit 2550.q
Rep. character $\chi_{2550}(407,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $216$
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.q (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 255 \)
Character field: \(\Q(i)\)
Sturm bound: \(1080\)

Dimensions

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

Total New Old
Modular forms 1128 216 912
Cusp forms 1032 216 816
Eisenstein series 96 0 96

Trace form

\( 216 q + O(q^{10}) \) \( 216 q - 24 q^{13} - 216 q^{16} + 32 q^{21} - 32 q^{36} + 24 q^{42} + 56 q^{43} + 20 q^{51} + 24 q^{52} - 24 q^{66} - 72 q^{67} - 32 q^{81} + 24 q^{87} - 8 q^{93} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(510, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1275, [\chi])\)\(^{\oplus 2}\)