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Properties

Label 2805.2.c
Level $2805$
Weight $2$
Character orbit 2805.c
Rep. character $\chi_{2805}(1684,\cdot)$
Character field $\Q$
Dimension $160$
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.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5 \)
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 440 160 280
Cusp forms 424 160 264
Eisenstein series 16 0 16

Trace form

\( 160 q - 160 q^{4} - 160 q^{9} + O(q^{10}) \) \( 160 q - 160 q^{4} - 160 q^{9} - 24 q^{10} + 48 q^{14} + 160 q^{16} - 16 q^{19} - 24 q^{20} + 16 q^{21} - 16 q^{25} + 32 q^{29} - 32 q^{31} + 16 q^{34} + 16 q^{35} + 160 q^{36} - 16 q^{39} + 88 q^{40} - 80 q^{46} - 176 q^{49} + 32 q^{50} - 240 q^{56} + 16 q^{59} + 16 q^{60} + 32 q^{61} - 64 q^{64} - 16 q^{65} + 96 q^{70} + 16 q^{71} - 64 q^{74} + 80 q^{76} - 48 q^{79} + 96 q^{80} + 160 q^{81} - 64 q^{84} + 64 q^{86} - 16 q^{89} + 24 q^{90} + 16 q^{91} - 64 q^{94} + 120 q^{95} - 80 q^{96} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)