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Properties

Label 2898.2.bz
Level $2898$
Weight $2$
Character orbit 2898.bz
Rep. character $\chi_{2898}(25,\cdot)$
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.bz (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

\( 3840 q - 384 q^{4} + 8 q^{5} + 8 q^{6} + 8 q^{9} + O(q^{10}) \) \( 3840 q - 384 q^{4} + 8 q^{5} + 8 q^{6} + 8 q^{9} - 4 q^{14} - 16 q^{15} - 384 q^{16} + 16 q^{17} - 20 q^{18} + 8 q^{20} - 38 q^{21} + 2 q^{23} + 8 q^{24} + 192 q^{25} + 8 q^{26} + 54 q^{27} + 4 q^{29} - 40 q^{30} + 40 q^{33} + 8 q^{36} + 24 q^{38} - 28 q^{39} - 20 q^{41} - 4 q^{42} - 4 q^{45} + 6 q^{46} - 24 q^{47} + 54 q^{49} - 8 q^{50} - 44 q^{51} - 8 q^{53} + 60 q^{54} + 18 q^{56} - 44 q^{57} - 40 q^{59} - 16 q^{60} - 24 q^{61} - 122 q^{63} - 384 q^{64} + 268 q^{65} + 16 q^{66} - 160 q^{68} - 38 q^{69} + 24 q^{70} - 64 q^{71} - 64 q^{72} + 12 q^{74} + 488 q^{75} + 324 q^{77} - 16 q^{78} + 8 q^{80} - 60 q^{81} - 32 q^{83} + 6 q^{84} + 36 q^{86} - 144 q^{87} + 52 q^{89} - 24 q^{90} + 2 q^{92} + 28 q^{93} + 48 q^{94} + 32 q^{95} + 8 q^{96} + 64 q^{98} - 128 q^{99} + O(q^{100}) \)

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

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