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Properties

Label 1925.2.cz
Level $1925$
Weight $2$
Character orbit 1925.cz
Rep. character $\chi_{1925}(81,\cdot)$
Character field $\Q(\zeta_{15})$
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.cz (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{15})\)
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

\( 1888 q - q^{2} - q^{3} + 231 q^{4} - 6 q^{5} - 64 q^{6} - 14 q^{7} + 227 q^{9} + O(q^{10}) \) \( 1888 q - q^{2} - q^{3} + 231 q^{4} - 6 q^{5} - 64 q^{6} - 14 q^{7} + 227 q^{9} - 12 q^{10} - q^{11} - 32 q^{12} - 4 q^{13} - 20 q^{14} - 12 q^{15} + 221 q^{16} + 6 q^{17} - 25 q^{18} - 17 q^{19} - 12 q^{20} - 24 q^{21} - 52 q^{22} - 10 q^{23} - 38 q^{24} - 2 q^{25} + 2 q^{26} + 2 q^{27} + 32 q^{28} - 4 q^{29} - 59 q^{30} - 3 q^{31} - 16 q^{32} + 12 q^{33} - 20 q^{34} - 30 q^{35} + 1712 q^{36} + 3 q^{38} - 9 q^{39} - 18 q^{40} + 66 q^{41} - 24 q^{42} - 4 q^{43} - 17 q^{44} - 16 q^{45} - 38 q^{46} - 21 q^{47} - 180 q^{48} - 26 q^{49} - 32 q^{50} - 46 q^{52} + 14 q^{53} - 60 q^{54} - 28 q^{55} + 50 q^{56} + 40 q^{57} + 65 q^{58} - 6 q^{59} - 30 q^{60} - 21 q^{61} - 88 q^{62} + 42 q^{63} - 360 q^{64} + 2 q^{65} - 7 q^{66} - 6 q^{67} - 33 q^{68} + 2 q^{69} + 48 q^{70} - 12 q^{71} - 13 q^{72} - 29 q^{73} - 13 q^{74} - 46 q^{75} - 432 q^{76} - 28 q^{77} - 40 q^{78} - 54 q^{79} - 51 q^{80} + 232 q^{81} + 8 q^{82} - 56 q^{83} - 78 q^{84} + 238 q^{85} - 9 q^{86} + 90 q^{87} - 17 q^{88} - 11 q^{89} - 208 q^{90} + 2 q^{91} + 8 q^{92} + 80 q^{93} + 146 q^{94} + 37 q^{95} - 39 q^{96} - 184 q^{97} - 124 q^{98} - 68 q^{99} + O(q^{100}) \)

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.