Properties

Label 2805.2.ci
Level $2805$
Weight $2$
Character orbit 2805.ci
Rep. character $\chi_{2805}(16,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $576$
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.ci (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 187 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 1760 576 1184
Cusp forms 1696 576 1120
Eisenstein series 64 0 64

Trace form

\( 576 q - 144 q^{4} + 144 q^{9} + O(q^{10}) \) \( 576 q - 144 q^{4} + 144 q^{9} - 8 q^{13} - 160 q^{16} - 32 q^{17} + 144 q^{25} + 16 q^{26} + 8 q^{30} + 80 q^{32} - 8 q^{33} - 120 q^{34} + 144 q^{36} - 152 q^{38} + 64 q^{42} + 144 q^{43} + 104 q^{47} + 168 q^{49} + 20 q^{51} + 216 q^{52} - 88 q^{53} + 40 q^{55} + 24 q^{59} - 260 q^{64} - 76 q^{66} - 48 q^{67} - 104 q^{68} - 32 q^{69} + 20 q^{70} - 280 q^{76} - 112 q^{77} - 144 q^{81} + 32 q^{83} + 168 q^{84} + 32 q^{86} + 176 q^{87} - 64 q^{89} - 200 q^{94} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(187, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)