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Properties

Label 1444.2.t
Level $1444$
Weight $2$
Character orbit 1444.t
Rep. character $\chi_{1444}(27,\cdot)$
Character field $\Q(\zeta_{114})$
Dimension $6768$
Sturm bound $380$

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Defining parameters

Level: \( N \) \(=\) \( 1444 = 2^{2} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1444.t (of order \(114\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1444 \)
Character field: \(\Q(\zeta_{114})\)
Sturm bound: \(380\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1444, [\chi])\).

Total New Old
Modular forms 6912 6912 0
Cusp forms 6768 6768 0
Eisenstein series 144 144 0

Trace form

\( 6768 q - 35 q^{2} - 35 q^{4} - 74 q^{5} - 43 q^{6} - 38 q^{8} + 70 q^{9} + O(q^{10}) \) \( 6768 q - 35 q^{2} - 35 q^{4} - 74 q^{5} - 43 q^{6} - 38 q^{8} + 70 q^{9} - 89 q^{10} - 38 q^{12} - 58 q^{13} - 32 q^{14} - 35 q^{16} - 78 q^{17} - 38 q^{18} - 42 q^{20} - 76 q^{21} + 54 q^{22} - 23 q^{24} + 106 q^{25} - 125 q^{26} - 15 q^{28} - 70 q^{29} - 82 q^{30} - 65 q^{32} - 94 q^{33} - 74 q^{34} - 44 q^{36} - 76 q^{37} - 14 q^{38} - 86 q^{40} - 28 q^{41} - 66 q^{42} - 21 q^{44} - 100 q^{45} - 38 q^{46} - 465 q^{48} + 268 q^{49} - 38 q^{50} - 44 q^{52} - 82 q^{53} + 165 q^{54} + 152 q^{56} - 50 q^{57} + 2 q^{58} - 70 q^{60} - 50 q^{61} - 45 q^{62} - 8 q^{64} - 76 q^{65} - 51 q^{66} - 28 q^{68} + 16 q^{70} + 28 q^{72} - 92 q^{73} - 42 q^{74} + 204 q^{76} - 132 q^{77} - 220 q^{78} + 136 q^{80} + 282 q^{81} - 43 q^{82} - 95 q^{84} - 102 q^{85} - 674 q^{86} - 38 q^{88} - 18 q^{89} - 704 q^{90} + 20 q^{92} - 56 q^{93} - 266 q^{94} - 296 q^{96} - 64 q^{97} - 184 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1444, [\chi])\) into newform subspaces

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