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Properties

Label 1205.2.n
Level $1205$
Weight $2$
Character orbit 1205.n
Rep. character $\chi_{1205}(739,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $240$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.n (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 248 248 0
Cusp forms 240 240 0
Eisenstein series 8 8 0

Trace form

\( 240 q + 120 q^{4} - 2 q^{5} - 16 q^{6} + 120 q^{9} + O(q^{10}) \) \( 240 q + 120 q^{4} - 2 q^{5} - 16 q^{6} + 120 q^{9} + 5 q^{10} - 6 q^{14} - 2 q^{15} - 124 q^{16} - 2 q^{20} - 6 q^{24} - 10 q^{25} - 14 q^{29} - 38 q^{30} - 18 q^{31} - 12 q^{34} + 9 q^{35} + 304 q^{36} - 18 q^{39} + 30 q^{40} - 28 q^{41} - 14 q^{45} + 24 q^{46} - 162 q^{49} + 55 q^{50} - 24 q^{51} - 116 q^{54} - 57 q^{55} + 24 q^{56} + 6 q^{59} + 28 q^{60} - 48 q^{61} - 280 q^{64} + 24 q^{65} - 138 q^{66} - 36 q^{69} + 36 q^{70} + 42 q^{71} + 18 q^{74} + 24 q^{75} + 132 q^{79} + 17 q^{80} - 152 q^{81} - 186 q^{84} + 84 q^{86} - 90 q^{89} + 17 q^{90} + 36 q^{91} + 48 q^{94} + 15 q^{95} + 58 q^{96} - 30 q^{99} + O(q^{100}) \)

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.