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Properties

Label 2898.2.bw
Level $2898$
Weight $2$
Character orbit 2898.bw
Rep. character $\chi_{2898}(193,\cdot)$
Character field $\Q(\zeta_{33})$
Dimension $3840$
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.bw (of order \(33\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1449 \)
Character field: \(\Q(\zeta_{33})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 11680 3840 7840
Cusp forms 11360 3840 7520
Eisenstein series 320 0 320

Trace form

\( 3840 q + 192 q^{4} - 16 q^{5} + 8 q^{6} - 4 q^{9} + O(q^{10}) \) \( 3840 q + 192 q^{4} - 16 q^{5} + 8 q^{6} - 4 q^{9} - 4 q^{14} - 16 q^{15} + 192 q^{16} + 16 q^{17} + 64 q^{18} + 8 q^{20} - 50 q^{21} - 4 q^{23} - 4 q^{24} - 384 q^{25} + 8 q^{26} + 54 q^{27} + 4 q^{29} + 80 q^{30} + 16 q^{33} + 8 q^{36} - 48 q^{38} + 32 q^{39} - 20 q^{41} - 16 q^{42} - 4 q^{45} + 6 q^{46} + 12 q^{47} - 108 q^{49} - 8 q^{50} + 4 q^{51} - 8 q^{53} - 48 q^{54} - 36 q^{56} - 44 q^{57} + 20 q^{59} + 8 q^{60} + 12 q^{61} + 148 q^{63} - 384 q^{64} - 134 q^{65} + 16 q^{66} + 320 q^{68} - 38 q^{69} - 12 q^{70} - 64 q^{71} + 44 q^{72} - 24 q^{74} - 220 q^{75} - 168 q^{77} - 16 q^{78} + 8 q^{80} - 32 q^{83} + 24 q^{84} - 72 q^{86} + 90 q^{87} + 52 q^{89} - 24 q^{90} + 2 q^{92} + 4 q^{93} - 24 q^{94} - 16 q^{95} - 4 q^{96} + 64 q^{98} - 128 q^{99} + O(q^{100}) \)

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

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