Properties

Label 1205.2.c
Level $1205$
Weight $2$
Character orbit 1205.c
Rep. character $\chi_{1205}(1204,\cdot)$
Character field $\Q$
Dimension $120$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1205 = 5 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1205.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1205 \)
Character field: \(\Q\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 124 124 0
Cusp forms 120 120 0
Eisenstein series 4 4 0

Trace form

\( 120 q - 120 q^{4} - 4 q^{5} + 16 q^{6} - 120 q^{9} + O(q^{10}) \) \( 120 q - 120 q^{4} - 4 q^{5} + 16 q^{6} - 120 q^{9} + 10 q^{10} + 14 q^{15} + 112 q^{16} + 8 q^{20} - 36 q^{24} + 4 q^{25} + 8 q^{29} - 34 q^{30} + 56 q^{36} + 24 q^{40} - 8 q^{41} + 26 q^{45} + 120 q^{49} - 40 q^{50} + 44 q^{54} + 24 q^{59} - 10 q^{60} - 60 q^{61} - 44 q^{64} - 42 q^{75} - 36 q^{79} + 10 q^{80} + 56 q^{81} + 70 q^{90} + 24 q^{94} + 212 q^{96} + O(q^{100}) \)

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

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