↑

Properties

Label 2550.2.ch
Level $2550$
Weight $2$
Character orbit 2550.ch
Rep. character $\chi_{2550}(263,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $2880$
Sturm bound $1080$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2550 = 2 \cdot 3 \cdot 5^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2550.ch (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1275 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(1080\)

Dimensions

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

Total New Old
Modular forms 8768 2880 5888
Cusp forms 8512 2880 5632
Eisenstein series 256 0 256

Trace form

\( 2880 q - 720 q^{4} + O(q^{10}) \) \( 2880 q - 720 q^{4} + 16 q^{13} - 24 q^{15} - 720 q^{16} + 16 q^{22} + 16 q^{25} + 120 q^{27} - 48 q^{37} + 48 q^{42} - 24 q^{45} + 16 q^{52} + 16 q^{55} + 16 q^{57} - 16 q^{58} - 24 q^{60} + 160 q^{61} - 80 q^{63} - 720 q^{64} + 16 q^{67} - 112 q^{70} - 176 q^{73} + 160 q^{79} - 64 q^{82} + 176 q^{85} - 200 q^{87} + 16 q^{88} - 288 q^{90} + 240 q^{91} + 144 q^{97} + O(q^{100}) \)

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

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