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Properties

Label 1205.2.bp
Level $1205$
Weight $2$
Character orbit 1205.bp
Rep. character $\chi_{1205}(209,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $944$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.bp (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 8 q^{5} + O(q^{10}) \) \( 944 q - 8 q^{5} - 4 q^{10} - 16 q^{11} - 4 q^{15} + 408 q^{16} - 32 q^{19} - 32 q^{20} - 8 q^{21} - 24 q^{24} - 48 q^{26} - 48 q^{29} + 52 q^{30} + 64 q^{31} + 32 q^{34} - 24 q^{35} - 848 q^{36} + 16 q^{39} - 80 q^{41} - 136 q^{44} - 40 q^{45} - 128 q^{46} - 144 q^{49} - 36 q^{50} - 24 q^{54} - 52 q^{55} - 48 q^{56} - 40 q^{59} + 60 q^{60} + 48 q^{61} + 76 q^{65} + 136 q^{66} + 24 q^{69} - 68 q^{70} - 8 q^{71} - 104 q^{74} - 80 q^{75} - 160 q^{76} - 104 q^{79} - 96 q^{80} + 280 q^{81} + 360 q^{84} - 144 q^{85} - 24 q^{86} + 176 q^{89} - 72 q^{90} - 384 q^{91} - 56 q^{94} + 136 q^{95} + 576 q^{96} - 216 q^{99} + O(q^{100}) \)

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.