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Properties

Label 1205.2.bs
Level $1205$
Weight $2$
Character orbit 1205.bs
Rep. character $\chi_{1205}(24,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $960$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.bs (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(242\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1205, [\chi])\).

Total New Old
Modular forms 992 992 0
Cusp forms 960 960 0
Eisenstein series 32 32 0

Trace form

\( 960 q + 470 q^{4} - 4 q^{5} - 30 q^{6} - 140 q^{9} + O(q^{10}) \) \( 960 q + 470 q^{4} - 4 q^{5} - 30 q^{6} - 140 q^{9} - 21 q^{10} - 6 q^{11} - 42 q^{14} - 21 q^{15} - 466 q^{16} + 6 q^{19} + 41 q^{20} - 48 q^{21} + 34 q^{24} + 8 q^{25} - 66 q^{26} - 2 q^{29} - 50 q^{30} - 62 q^{31} + 4 q^{34} - 23 q^{35} - 184 q^{36} - 2 q^{39} + 94 q^{40} - 68 q^{41} + 68 q^{44} + 55 q^{45} - 94 q^{46} - 150 q^{49} + 100 q^{50} - 56 q^{51} + 4 q^{54} + 12 q^{55} + 144 q^{56} - 68 q^{59} + 95 q^{60} - 66 q^{61} - 1016 q^{64} - 10 q^{65} + 62 q^{69} + 134 q^{70} - 30 q^{71} + 24 q^{74} - 85 q^{75} + 148 q^{76} + 92 q^{79} + 141 q^{80} + 40 q^{81} - 100 q^{84} - 69 q^{85} - 56 q^{86} + 14 q^{89} - 59 q^{90} - 116 q^{91} + 192 q^{94} - 118 q^{95} + 324 q^{96} + 244 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1205, [\chi])\) into newform subspaces

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