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Properties

Label 1925.2.et
Level $1925$
Weight $2$
Character orbit 1925.et
Rep. character $\chi_{1925}(289,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1888$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1925 = 5^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1925.et (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1925, [\chi])\).

Total New Old
Modular forms 1952 1952 0
Cusp forms 1888 1888 0
Eisenstein series 64 64 0

Trace form

\( 1888 q - 5 q^{2} - 233 q^{4} - 6 q^{5} - 24 q^{6} + 15 q^{7} - 20 q^{8} + 906 q^{9} + O(q^{10}) \) \( 1888 q - 5 q^{2} - 233 q^{4} - 6 q^{5} - 24 q^{6} + 15 q^{7} - 20 q^{8} + 906 q^{9} - 26 q^{10} + 6 q^{14} - 38 q^{15} + 215 q^{16} + 5 q^{17} + 55 q^{18} - 17 q^{19} - 44 q^{20} - 15 q^{21} - 20 q^{22} - 10 q^{23} - 20 q^{24} - 6 q^{25} + 6 q^{26} + 60 q^{28} - 4 q^{29} - 23 q^{30} + q^{31} + 20 q^{33} - 28 q^{34} + 48 q^{35} - 418 q^{36} - 40 q^{37} - 5 q^{38} - 18 q^{39} - 45 q^{40} - 74 q^{41} - 150 q^{42} - 15 q^{44} + 32 q^{45} + 31 q^{46} - 50 q^{48} - q^{49} - 36 q^{50} - 12 q^{51} + 15 q^{52} - 5 q^{53} - 38 q^{54} + 50 q^{55} + 4 q^{56} - 20 q^{57} - 5 q^{58} - q^{59} - 6 q^{60} - 106 q^{61} - 20 q^{62} + 80 q^{63} + 304 q^{64} + 17 q^{65} - 5 q^{66} - 10 q^{67} - 65 q^{68} - 10 q^{69} - 6 q^{70} - 36 q^{71} - 75 q^{72} - 5 q^{73} - 21 q^{74} - 77 q^{75} + 280 q^{76} - 100 q^{77} + 50 q^{78} - 9 q^{79} + 41 q^{80} - 836 q^{81} - 10 q^{82} - 20 q^{83} - 47 q^{84} + 2 q^{85} + 7 q^{86} - 10 q^{87} + 14 q^{89} - 34 q^{90} - 36 q^{91} - 70 q^{93} - 37 q^{94} - 13 q^{95} - 314 q^{96} - 20 q^{97} + 10 q^{98} - 14 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1925, [\chi])\) into newform subspaces

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