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Properties

Label 2898.2.bq
Level $2898$
Weight $2$
Character orbit 2898.bq
Rep. character $\chi_{2898}(181,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $800$
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.bq (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 161 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 5920 800 5120
Cusp forms 5600 800 4800
Eisenstein series 320 0 320

Trace form

\( 800 q - 80 q^{4} + O(q^{10}) \) \( 800 q - 80 q^{4} - 80 q^{16} + 52 q^{23} - 132 q^{25} - 22 q^{28} + 8 q^{29} + 14 q^{35} + 44 q^{37} + 44 q^{43} + 16 q^{46} + 18 q^{49} + 8 q^{50} - 22 q^{56} + 80 q^{58} - 80 q^{64} + 308 q^{65} - 48 q^{70} - 48 q^{71} - 78 q^{77} + 176 q^{79} - 100 q^{85} + 44 q^{86} + 8 q^{92} + 16 q^{95} - 28 q^{98} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2898, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1449, [\chi])\)\(^{\oplus 2}\)