Properties

Label 1890.2.bw
Level 1890
Weight 2
Character orbit bw
Rep. character \(\chi_{1890}(557,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 192
Sturm bound 864

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 1890 = 2 \cdot 3^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 1890.bw (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 315 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1890, [\chi])\).

Total New Old
Modular forms 1824 192 1632
Cusp forms 1632 192 1440
Eisenstein series 192 0 192

Trace form

\(192q \) \(\mathstrut +\mathstrut O(q^{10}) \) \(192q \) \(\mathstrut +\mathstrut 96q^{16} \) \(\mathstrut -\mathstrut 36q^{17} \) \(\mathstrut -\mathstrut 12q^{41} \) \(\mathstrut -\mathstrut 12q^{46} \) \(\mathstrut +\mathstrut 48q^{50} \) \(\mathstrut +\mathstrut 24q^{58} \) \(\mathstrut +\mathstrut 12q^{61} \) \(\mathstrut -\mathstrut 24q^{65} \) \(\mathstrut +\mathstrut 48q^{77} \) \(\mathstrut +\mathstrut 24q^{92} \) \(\mathstrut +\mathstrut O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1890, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(1890, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1890, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(630, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(945, [\chi])\)\(^{\oplus 2}\)