Properties

Label 2805.2.bh
Level $2805$
Weight $2$
Character orbit 2805.bh
Rep. character $\chi_{2805}(1033,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $432$
Sturm bound $864$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2805 = 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2805.bh (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 935 \)
Character field: \(\Q(i)\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2805, [\chi])\).

Total New Old
Modular forms 880 432 448
Cusp forms 848 432 416
Eisenstein series 32 0 32

Trace form

\( 432 q + 8 q^{5} - 432 q^{9} + O(q^{10}) \) \( 432 q + 8 q^{5} - 432 q^{9} + 16 q^{14} - 8 q^{15} - 432 q^{16} + 32 q^{20} - 16 q^{22} + 64 q^{23} - 8 q^{25} - 16 q^{31} + 4 q^{33} + 32 q^{37} - 8 q^{45} + 432 q^{49} + 16 q^{55} - 16 q^{56} - 112 q^{58} + 64 q^{59} - 32 q^{71} - 32 q^{75} + 8 q^{77} - 184 q^{80} + 432 q^{81} + 48 q^{82} + 48 q^{91} - 32 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2805, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2805, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)