Properties

Label 1900.3.bs
Level $1900$
Weight $3$
Character orbit 1900.bs
Rep. character $\chi_{1900}(227,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $4768$
Sturm bound $900$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1900 = 2^{2} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 1900.bs (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1900 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(1900, [\chi])\).

Total New Old
Modular forms 4832 4832 0
Cusp forms 4768 4768 0
Eisenstein series 64 64 0

Trace form

\( 4768 q - 20 q^{4} - 32 q^{5} - 12 q^{6} - 40 q^{9} + O(q^{10}) \) \( 4768 q - 20 q^{4} - 32 q^{5} - 12 q^{6} - 40 q^{9} - 12 q^{16} - 32 q^{17} - 100 q^{20} - 32 q^{25} - 32 q^{26} - 60 q^{28} + 84 q^{30} - 140 q^{36} + 136 q^{38} - 212 q^{42} - 720 q^{44} - 232 q^{45} - 20 q^{54} - 20 q^{57} + 960 q^{58} - 24 q^{61} - 1040 q^{62} - 920 q^{64} - 300 q^{66} + 228 q^{68} - 32 q^{73} + 48 q^{76} - 376 q^{77} + 124 q^{80} + 10128 q^{81} - 572 q^{82} - 176 q^{85} + 828 q^{92} - 728 q^{93} + 108 q^{96} + O(q^{100}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(1900, [\chi])\) into newform subspaces

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