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Properties

Label 2805.2.ea
Level $2805$
Weight $2$
Character orbit 2805.ea
Rep. character $\chi_{2805}(608,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $3392$
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.ea (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2805 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 3520 3520 0
Cusp forms 3392 3392 0
Eisenstein series 128 128 0

Trace form

\( 3392 q - 12 q^{6} - 24 q^{9} + O(q^{10}) \) \( 3392 q - 12 q^{6} - 24 q^{9} - 48 q^{10} - 40 q^{12} - 32 q^{13} + 24 q^{15} + 752 q^{16} - 28 q^{18} - 64 q^{21} + 48 q^{24} + 12 q^{25} - 120 q^{28} - 12 q^{30} - 8 q^{31} - 16 q^{33} + 8 q^{37} + 32 q^{39} + 60 q^{40} - 24 q^{42} + 32 q^{43} - 36 q^{45} - 48 q^{46} + 752 q^{49} + 76 q^{51} - 8 q^{52} + 64 q^{54} - 48 q^{55} - 56 q^{58} + 84 q^{60} - 48 q^{61} - 64 q^{67} + 168 q^{70} - 92 q^{72} - 18 q^{75} + 24 q^{78} + 40 q^{79} - 48 q^{81} - 24 q^{82} - 68 q^{85} + 24 q^{87} - 36 q^{90} + 32 q^{91} - 24 q^{93} - 80 q^{94} + 4 q^{96} - 56 q^{97} + 76 q^{99} + O(q^{100}) \)

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.