↑

Properties

Label 2805.2.j
Level $2805$
Weight $2$
Character orbit 2805.j
Rep. character $\chi_{2805}(1616,\cdot)$
Character field $\Q$
Dimension $256$
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.j (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 33 \)
Character field: \(\Q\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 440 256 184
Cusp forms 424 256 168
Eisenstein series 16 0 16

Trace form

\( 256 q + 256 q^{4} + O(q^{10}) \) \( 256 q + 256 q^{4} + 320 q^{16} - 32 q^{22} - 256 q^{25} - 24 q^{27} + 4 q^{33} + 72 q^{36} + 32 q^{42} + 48 q^{48} - 256 q^{49} + 32 q^{58} - 56 q^{60} + 360 q^{64} + 4 q^{66} - 128 q^{67} + 32 q^{69} - 24 q^{70} - 104 q^{78} + 16 q^{81} + 48 q^{82} - 72 q^{88} - 96 q^{91} + 8 q^{93} + 32 q^{97} - 4 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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