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Properties

Label 2205.2.ec
Level $2205$
Weight $2$
Character orbit 2205.ec
Rep. character $\chi_{2205}(92,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $7968$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2205.ec (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2205 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2205, [\chi])\).

Total New Old
Modular forms 8160 8160 0
Cusp forms 7968 7968 0
Eisenstein series 192 192 0

Trace form

\( 7968 q - 30 q^{2} - 20 q^{3} - 30 q^{5} - 12 q^{7} + O(q^{10}) \) \( 7968 q - 30 q^{2} - 20 q^{3} - 30 q^{5} - 12 q^{7} - 40 q^{10} - 60 q^{11} - 10 q^{13} - 32 q^{15} - 660 q^{16} - 56 q^{18} - 30 q^{20} - 40 q^{21} + 6 q^{22} - 30 q^{23} - 10 q^{25} - 32 q^{27} - 40 q^{28} - 76 q^{30} - 48 q^{31} + 18 q^{32} + 12 q^{33} - 128 q^{36} - 40 q^{37} + 30 q^{38} - 26 q^{40} - 84 q^{41} - 218 q^{42} - 10 q^{43} - 108 q^{45} + 40 q^{46} - 30 q^{47} - 100 q^{48} + 24 q^{50} - 40 q^{51} + 14 q^{52} - 120 q^{56} + 12 q^{57} - 86 q^{58} + 44 q^{60} - 44 q^{61} - 72 q^{63} - 30 q^{65} + 148 q^{66} - 24 q^{67} - 168 q^{68} - 32 q^{70} + 12 q^{72} - 40 q^{73} - 172 q^{75} + 60 q^{76} - 36 q^{77} - 180 q^{81} - 24 q^{82} - 30 q^{83} - 10 q^{85} + 156 q^{86} - 108 q^{87} - 2 q^{88} - 64 q^{90} - 96 q^{91} - 6 q^{92} - 160 q^{93} + 120 q^{95} - 416 q^{96} - 24 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.