Properties

Label 1205.2.cc
Level $1205$
Weight $2$
Character orbit 1205.cc
Rep. character $\chi_{1205}(9,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $1920$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.cc (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 1984 1984 0
Cusp forms 1920 1920 0
Eisenstein series 64 64 0

Trace form

\( 1920 q - 980 q^{4} - 20 q^{5} + 16 q^{6} + 200 q^{9} + O(q^{10}) \) \( 1920 q - 980 q^{4} - 20 q^{5} + 16 q^{6} + 200 q^{9} + 10 q^{10} - 28 q^{11} - 12 q^{14} - 2 q^{15} - 1012 q^{16} - 24 q^{19} + 22 q^{20} - 4 q^{21} - 48 q^{24} + 16 q^{25} + 24 q^{26} - 28 q^{29} - 136 q^{31} - 92 q^{34} + 84 q^{35} - 496 q^{36} - 28 q^{39} - 32 q^{40} - 40 q^{41} + 132 q^{44} - 56 q^{45} - 108 q^{46} + 44 q^{49} + 196 q^{50} - 28 q^{51} - 68 q^{54} - 22 q^{55} - 196 q^{56} + 44 q^{59} + 54 q^{60} - 100 q^{61} + 2000 q^{64} - 110 q^{65} - 112 q^{66} + 36 q^{69} - 100 q^{70} + 20 q^{71} + 212 q^{74} + 72 q^{75} + 108 q^{76} - 160 q^{79} + 8 q^{80} + 352 q^{81} - 264 q^{84} + 38 q^{85} + 144 q^{86} + 40 q^{89} - 54 q^{90} - 216 q^{91} - 392 q^{94} - 230 q^{95} - 576 q^{96} + 88 q^{99} + O(q^{100}) \)

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

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