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Properties

Label 2805.2.fl
Level $2805$
Weight $2$
Character orbit 2805.fl
Rep. character $\chi_{2805}(107,\cdot)$
Character field $\Q(\zeta_{80})$
Dimension $13568$
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.fl (of order \(80\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2805 \)
Character field: \(\Q(\zeta_{80})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 14080 14080 0
Cusp forms 13568 13568 0
Eisenstein series 512 512 0

Trace form

\( 13568 q - 24 q^{3} - 80 q^{6} - 80 q^{7} + O(q^{10}) \) \( 13568 q - 24 q^{3} - 80 q^{6} - 80 q^{7} - 112 q^{12} - 160 q^{13} - 24 q^{15} - 80 q^{18} - 64 q^{22} - 48 q^{25} - 24 q^{27} - 80 q^{28} - 40 q^{30} - 32 q^{31} + 64 q^{34} - 48 q^{36} - 112 q^{37} - 80 q^{40} - 72 q^{42} - 64 q^{45} - 160 q^{46} - 168 q^{48} - 80 q^{51} - 480 q^{52} - 64 q^{55} - 40 q^{57} - 48 q^{58} - 56 q^{60} - 160 q^{61} - 40 q^{63} - 64 q^{66} - 128 q^{67} - 112 q^{70} - 80 q^{72} - 80 q^{73} - 24 q^{75} - 160 q^{78} - 48 q^{81} - 48 q^{82} - 400 q^{85} - 96 q^{88} - 40 q^{90} - 384 q^{91} - 24 q^{93} - 80 q^{96} + 16 q^{97} - 320 q^{99} + O(q^{100}) \)

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.