↑

Properties

Label 2873.2.b
Level $2873$
Weight $2$
Character orbit 2873.b
Rep. character $\chi_{2873}(2872,\cdot)$
Character field $\Q$
Dimension $220$
Sturm bound $546$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q\)
Sturm bound: \(546\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2873, [\chi])\).

Total New Old
Modular forms 288 240 48
Cusp forms 260 220 40
Eisenstein series 28 20 8

Trace form

\( 220 q - 204 q^{4} - 184 q^{9} + O(q^{10}) \) \( 220 q - 204 q^{4} - 184 q^{9} + 196 q^{16} - 10 q^{17} + 180 q^{25} + 84 q^{30} + 32 q^{35} + 124 q^{36} - 24 q^{38} + 48 q^{42} - 16 q^{43} + 132 q^{49} - 2 q^{51} - 56 q^{53} + 52 q^{55} - 204 q^{64} + 92 q^{66} + 20 q^{68} - 72 q^{69} - 8 q^{77} + 76 q^{81} + 84 q^{87} - 36 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2873, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2873, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2873, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(221, [\chi])\)\(^{\oplus 2}\)