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Properties

Label 2898.2.bm
Level $2898$
Weight $2$
Character orbit 2898.bm
Rep. character $\chi_{2898}(47,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $352$
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.bm (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 63 \)
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 352 816
Cusp forms 1136 352 784
Eisenstein series 32 0 32

Trace form

\( 352 q + 176 q^{4} - 4 q^{7} + 8 q^{9} + O(q^{10}) \) \( 352 q + 176 q^{4} - 4 q^{7} + 8 q^{9} + 12 q^{13} + 20 q^{15} - 176 q^{16} - 36 q^{17} + 12 q^{21} + 352 q^{25} + 36 q^{27} + 4 q^{28} + 12 q^{30} - 12 q^{31} - 60 q^{33} + 60 q^{35} - 8 q^{36} + 4 q^{37} + 44 q^{39} - 28 q^{42} + 4 q^{43} - 24 q^{44} - 36 q^{45} + 4 q^{49} + 48 q^{50} - 4 q^{51} + 8 q^{57} + 24 q^{58} + 4 q^{60} + 84 q^{61} + 72 q^{62} + 36 q^{63} - 352 q^{64} - 24 q^{65} - 96 q^{66} - 28 q^{67} - 72 q^{68} + 12 q^{70} - 60 q^{75} + 48 q^{77} + 16 q^{78} + 32 q^{79} - 56 q^{81} + 24 q^{84} + 24 q^{85} - 60 q^{89} - 36 q^{90} + 24 q^{91} - 32 q^{93} + 132 q^{95} + 12 q^{97} - 48 q^{98} - 40 q^{99} + O(q^{100}) \)

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

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