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Properties

Label 2898.2.ct
Level $2898$
Weight $2$
Character orbit 2898.ct
Rep. character $\chi_{2898}(215,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $1280$
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.ct (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 11840 1280 10560
Cusp forms 11200 1280 9920
Eisenstein series 640 0 640

Trace form

\( 1280 q - 64 q^{4} + O(q^{10}) \) \( 1280 q - 64 q^{4} + 64 q^{16} + 32 q^{22} + 80 q^{25} + 88 q^{37} - 176 q^{43} - 16 q^{49} + 56 q^{58} + 128 q^{64} - 48 q^{67} + 192 q^{70} + 144 q^{79} - 96 q^{82} - 32 q^{85} + 16 q^{88} + 64 q^{91} + O(q^{100}) \)

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

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