↑

Properties

Label 2898.2.br
Level $2898$
Weight $2$
Character orbit 2898.br
Rep. character $\chi_{2898}(377,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $640$
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.br (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 483 \)
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 640 5280
Cusp forms 5600 640 4960
Eisenstein series 320 0 320

Trace form

\( 640 q + 64 q^{4} + O(q^{10}) \) \( 640 q + 64 q^{4} - 64 q^{16} + 16 q^{22} - 80 q^{25} - 40 q^{37} - 40 q^{43} - 32 q^{49} + 160 q^{58} + 64 q^{64} - 48 q^{67} - 192 q^{70} + 288 q^{79} + 32 q^{85} - 16 q^{88} + 32 q^{91} + O(q^{100}) \)

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

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