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Properties

Label 1890.2.ch
Level $1890$
Weight $2$
Character orbit 1890.ch
Rep. character $\chi_{1890}(53,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $256$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 1890 = 2 \cdot 3^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1890.ch (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 105 \)
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 256 1568
Cusp forms 1632 256 1376
Eisenstein series 192 0 192

Trace form

\( 256 q + 4 q^{7} + O(q^{10}) \) \( 256 q + 4 q^{7} + 4 q^{10} + 128 q^{16} - 24 q^{22} - 8 q^{25} + 4 q^{28} + 32 q^{31} - 8 q^{37} + 128 q^{43} - 16 q^{55} + 32 q^{58} + 48 q^{61} - 16 q^{67} - 12 q^{70} + 40 q^{73} - 32 q^{76} + 16 q^{82} + 32 q^{85} + 12 q^{88} + 48 q^{91} + 104 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1890, [\chi])\) into newform subspaces

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

\( S_{2}^{\mathrm{old}}(1890, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(105, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(210, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(630, [\chi])\)\(^{\oplus 2}\)