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Properties

Label 2898.2.bo
Level $2898$
Weight $2$
Character orbit 2898.bo
Rep. character $\chi_{2898}(127,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $600$
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.bo (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 23 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 5920 600 5320
Cusp forms 5600 600 5000
Eisenstein series 320 0 320

Trace form

\( 600 q - 60 q^{4} - 8 q^{5} + O(q^{10}) \) \( 600 q - 60 q^{4} - 8 q^{5} + 4 q^{11} - 8 q^{13} - 4 q^{14} - 60 q^{16} - 28 q^{17} - 52 q^{19} - 8 q^{20} - 48 q^{22} - 36 q^{23} - 96 q^{25} - 36 q^{26} - 52 q^{29} - 20 q^{31} - 16 q^{34} + 8 q^{35} + 72 q^{37} + 16 q^{38} - 60 q^{41} + 32 q^{43} + 4 q^{44} - 12 q^{46} - 88 q^{47} - 60 q^{49} - 8 q^{52} - 56 q^{53} + 160 q^{55} - 4 q^{56} - 16 q^{58} + 168 q^{59} + 124 q^{62} - 60 q^{64} + 84 q^{67} + 16 q^{68} - 8 q^{70} + 204 q^{71} + 40 q^{73} + 124 q^{74} - 8 q^{76} - 76 q^{79} + 36 q^{80} - 8 q^{82} + 40 q^{83} + 24 q^{85} - 4 q^{86} - 4 q^{88} - 76 q^{89} - 48 q^{91} + 8 q^{92} - 16 q^{94} - 76 q^{95} - 128 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2898, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(46, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(69, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(138, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(414, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1449, [\chi])\)\(^{\oplus 2}\)