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Properties

Label 1890.2.cv
Level $1890$
Weight $2$
Character orbit 1890.cv
Rep. character $\chi_{1890}(79,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $864$
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.cv (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 945 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 2640 864 1776
Cusp forms 2544 864 1680
Eisenstein series 96 0 96

Trace form

\( 864 q + 6 q^{6} - 24 q^{9} + O(q^{10}) \) \( 864 q + 6 q^{6} - 24 q^{9} + 24 q^{11} + 6 q^{14} + 12 q^{15} + 36 q^{21} + 72 q^{26} - 6 q^{29} + 18 q^{30} - 36 q^{35} + 6 q^{36} - 108 q^{39} - 12 q^{41} - 36 q^{49} + 36 q^{50} - 6 q^{56} - 18 q^{60} + 18 q^{61} + 432 q^{64} - 18 q^{65} + 12 q^{69} + 132 q^{75} + 36 q^{79} - 24 q^{81} + 6 q^{84} - 144 q^{89} + 36 q^{94} + 30 q^{95} - 72 q^{99} + O(q^{100}) \)

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

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