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Properties

Label 2898.2.q
Level $2898$
Weight $2$
Character orbit 2898.q
Rep. character $\chi_{2898}(137,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $384$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2898 = 2 \cdot 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2898.q (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1449 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2898, [\chi])\).

Total New Old
Modular forms 1168 384 784
Cusp forms 1136 384 752
Eisenstein series 32 0 32

Trace form

\( 384 q - 384 q^{4} + 8 q^{6} + 8 q^{9} + O(q^{10}) \) \( 384 q - 384 q^{4} + 8 q^{6} + 8 q^{9} + 384 q^{16} + 24 q^{18} - 30 q^{23} - 8 q^{24} - 192 q^{25} + 24 q^{26} - 12 q^{27} - 12 q^{29} - 8 q^{36} + 28 q^{39} - 12 q^{41} - 6 q^{46} - 12 q^{49} - 24 q^{50} + 28 q^{54} - 384 q^{64} - 26 q^{69} + 24 q^{70} - 24 q^{72} + 128 q^{75} + 108 q^{77} - 16 q^{78} + 84 q^{87} + 30 q^{92} + 116 q^{93} - 48 q^{94} + 8 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2898, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2898, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2898, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1449, [\chi])\)\(^{\oplus 2}\)