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Properties

Label 1205.2.u
Level $1205$
Weight $2$
Character orbit 1205.u
Rep. character $\chi_{1205}(339,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $480$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.u (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 496 496 0
Cusp forms 480 480 0
Eisenstein series 16 16 0

Trace form

\( 480 q - 500 q^{4} - 5 q^{5} + 110 q^{9} + O(q^{10}) \) \( 480 q - 500 q^{4} - 5 q^{5} + 110 q^{9} + 3 q^{10} - 12 q^{11} + 18 q^{14} - 24 q^{15} + 508 q^{16} - 36 q^{19} - 20 q^{20} - 6 q^{21} + 8 q^{24} - 17 q^{25} + 48 q^{26} - 22 q^{29} + 20 q^{30} - 10 q^{31} + 38 q^{34} - 16 q^{35} - 206 q^{36} - 34 q^{39} - 28 q^{40} - 40 q^{41} - 32 q^{44} - 4 q^{45} - 50 q^{46} + 162 q^{49} + 41 q^{50} + 14 q^{51} - 46 q^{54} - 36 q^{55} - 12 q^{56} + 8 q^{59} + 16 q^{60} - 48 q^{61} - 520 q^{64} - 80 q^{65} - 12 q^{66} - 62 q^{69} - 77 q^{70} - 30 q^{71} - 72 q^{74} + 16 q^{75} - 52 q^{76} - 2 q^{79} + 51 q^{80} - 160 q^{81} - 14 q^{84} + 48 q^{85} - 28 q^{86} - 8 q^{89} - 19 q^{90} + 50 q^{91} + 36 q^{94} + 31 q^{95} + 60 q^{96} - 22 q^{99} + O(q^{100}) \)

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.