↑

Properties

Label 1950.2.bg
Level $1950$
Weight $2$
Character orbit 1950.bg
Rep. character $\chi_{1950}(181,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $288$
Sturm bound $840$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1950 = 2 \cdot 3 \cdot 5^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1950.bg (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 325 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(840\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1950, [\chi])\).

Total New Old
Modular forms 1712 288 1424
Cusp forms 1648 288 1360
Eisenstein series 64 0 64

Trace form

\( 288 q + 72 q^{4} - 72 q^{9} + O(q^{10}) \) \( 288 q + 72 q^{4} - 72 q^{9} + 8 q^{13} - 72 q^{16} + 24 q^{23} - 40 q^{25} - 8 q^{26} - 8 q^{29} - 16 q^{35} + 72 q^{36} - 32 q^{43} - 352 q^{49} - 32 q^{51} - 8 q^{52} + 72 q^{53} + 120 q^{55} - 40 q^{61} - 72 q^{62} + 72 q^{64} - 4 q^{65} - 16 q^{66} + 16 q^{74} - 16 q^{75} - 96 q^{77} - 16 q^{78} + 16 q^{79} - 72 q^{81} - 128 q^{82} + 72 q^{87} + 28 q^{91} + 16 q^{92} - 64 q^{94} + 24 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1950, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1950, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1950, [\chi]) \cong \)