↑

Properties

Label 2898.2.cw
Level $2898$
Weight $2$
Character orbit 2898.cw
Rep. character $\chi_{2898}(113,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $2880$
Sturm bound $1152$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2898 = 2 \cdot 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2898.cw (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 207 \)
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 11680 2880 8800
Cusp forms 11360 2880 8480
Eisenstein series 320 0 320

Trace form

\( 2880 q + 8 q^{3} - 144 q^{4} - 8 q^{9} + O(q^{10}) \) \( 2880 q + 8 q^{3} - 144 q^{4} - 8 q^{9} - 8 q^{12} + 88 q^{15} + 144 q^{16} - 36 q^{18} + 12 q^{23} + 168 q^{25} - 64 q^{27} + 72 q^{29} - 44 q^{30} + 24 q^{31} + 88 q^{33} - 16 q^{36} - 16 q^{39} + 96 q^{41} - 24 q^{47} - 16 q^{48} - 144 q^{49} - 24 q^{50} - 24 q^{54} + 48 q^{55} + 132 q^{57} + 24 q^{59} + 44 q^{60} + 288 q^{64} + 176 q^{66} + 220 q^{69} + 16 q^{72} + 528 q^{74} - 68 q^{75} + 132 q^{78} + 128 q^{81} + 396 q^{83} - 80 q^{87} + 12 q^{92} - 40 q^{93} - 24 q^{95} + 132 q^{97} + O(q^{100}) \)

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

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