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Properties

Label 1208.2.c
Level $1208$
Weight $2$
Character orbit 1208.c
Rep. character $\chi_{1208}(603,\cdot)$
Character field $\Q$
Dimension $150$
Sturm bound $304$

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Defining parameters

Level: \( N \) \(=\) \( 1208 = 2^{3} \cdot 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1208.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1208 \)
Character field: \(\Q\)
Sturm bound: \(304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1208, [\chi])\).

Total New Old
Modular forms 154 154 0
Cusp forms 150 150 0
Eisenstein series 4 4 0

Trace form

\( 150 q - 6 q^{8} - 150 q^{9} + O(q^{10}) \) \( 150 q - 6 q^{8} - 150 q^{9} - 2 q^{10} - 12 q^{11} - 16 q^{16} - 4 q^{17} - 2 q^{18} + 12 q^{19} + 10 q^{20} + 28 q^{22} - 146 q^{25} - 30 q^{32} - 46 q^{34} - 56 q^{36} + 35 q^{38} + 57 q^{40} + 24 q^{42} - 12 q^{43} - 33 q^{44} + 150 q^{49} - 65 q^{50} - 31 q^{58} - 28 q^{59} - 20 q^{62} - 42 q^{64} - 63 q^{68} - 50 q^{72} + 18 q^{74} + 4 q^{76} - 44 q^{78} + 41 q^{80} + 142 q^{81} - 46 q^{84} - 18 q^{86} - 14 q^{88} - 12 q^{90} + 16 q^{91} + 61 q^{94} - 36 q^{97} + 64 q^{98} + 12 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1208, [\chi])\) into newform subspaces

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