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Properties

Label 2805.2.bj
Level $2805$
Weight $2$
Character orbit 2805.bj
Rep. character $\chi_{2805}(2333,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $720$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2805 = 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2805.bj (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

\( 720 q + O(q^{10}) \) \( 720 q + 16 q^{10} - 704 q^{16} + 72 q^{27} - 40 q^{30} + 16 q^{31} - 8 q^{34} + 16 q^{39} - 80 q^{40} + 40 q^{42} - 32 q^{45} - 48 q^{46} - 104 q^{48} + 720 q^{49} - 64 q^{57} + 32 q^{61} + 152 q^{63} - 64 q^{70} - 40 q^{72} + 128 q^{73} + 72 q^{75} - 16 q^{79} + 24 q^{85} - 56 q^{87} - 36 q^{90} - 96 q^{93} + 176 q^{94} + O(q^{100}) \)

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

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