Properties

Label 2805.2.w
Level $2805$
Weight $2$
Character orbit 2805.w
Rep. character $\chi_{2805}(353,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $720$
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.w (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 255 \)
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 880 720 160
Cusp forms 848 720 128
Eisenstein series 32 0 32

Trace form

\( 720 q + O(q^{10}) \) \( 720 q - 16 q^{10} - 704 q^{16} - 64 q^{28} - 40 q^{30} + 16 q^{31} + 8 q^{34} + 96 q^{37} - 16 q^{39} - 16 q^{40} - 40 q^{42} - 32 q^{45} - 48 q^{46} - 720 q^{49} + 32 q^{58} + 32 q^{61} + 64 q^{70} - 40 q^{72} - 80 q^{75} + 104 q^{78} + 16 q^{79} - 160 q^{82} + 56 q^{85} + 56 q^{87} + 164 q^{90} + 96 q^{93} - 176 q^{94} - 80 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 2}\)