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Properties

Label 2898.2.j
Level $2898$
Weight $2$
Character orbit 2898.j
Rep. character $\chi_{2898}(967,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $264$
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.j (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 1168 264 904
Cusp forms 1136 264 872
Eisenstein series 32 0 32

Trace form

\( 264 q - 4 q^{2} - 4 q^{3} - 132 q^{4} - 4 q^{6} + 8 q^{8} + 12 q^{9} + O(q^{10}) \) \( 264 q - 4 q^{2} - 4 q^{3} - 132 q^{4} - 4 q^{6} + 8 q^{8} + 12 q^{9} + 12 q^{11} + 8 q^{12} - 8 q^{15} - 132 q^{16} - 8 q^{17} + 8 q^{18} - 24 q^{19} - 8 q^{21} + 12 q^{22} - 4 q^{24} - 132 q^{25} + 8 q^{27} - 40 q^{29} - 24 q^{30} - 4 q^{32} - 20 q^{33} + 12 q^{34} + 16 q^{35} - 12 q^{36} + 28 q^{38} + 8 q^{39} + 4 q^{41} + 12 q^{43} - 24 q^{44} + 128 q^{45} + 40 q^{47} - 4 q^{48} - 132 q^{49} - 28 q^{50} - 4 q^{51} + 20 q^{54} - 36 q^{57} + 28 q^{59} - 8 q^{60} + 264 q^{64} - 48 q^{65} - 32 q^{66} + 12 q^{67} + 4 q^{68} - 16 q^{71} - 4 q^{72} - 24 q^{73} - 68 q^{75} + 12 q^{76} - 16 q^{77} + 8 q^{78} + 24 q^{79} + 60 q^{81} + 72 q^{82} + 24 q^{83} + 16 q^{84} - 24 q^{85} + 44 q^{86} - 112 q^{87} + 12 q^{88} - 64 q^{89} - 48 q^{91} - 24 q^{93} + 32 q^{95} + 8 q^{96} - 36 q^{97} + 8 q^{98} - 96 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2898, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(18, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(63, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(126, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(414, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1449, [\chi])\)\(^{\oplus 2}\)