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Properties

Label 1925.2.gb
Level $1925$
Weight $2$
Character orbit 1925.gb
Rep. character $\chi_{1925}(38,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $3776$
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.gb (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 3904 3904 0
Cusp forms 3776 3776 0
Eisenstein series 128 128 0

Trace form

\( 3776 q - 6 q^{2} - 18 q^{3} - 10 q^{4} - 30 q^{5} - 8 q^{8} - 10 q^{9} + O(q^{10}) \) \( 3776 q - 6 q^{2} - 18 q^{3} - 10 q^{4} - 30 q^{5} - 8 q^{8} - 10 q^{9} - 72 q^{10} - 6 q^{11} - 12 q^{12} - 20 q^{14} - 40 q^{15} - 450 q^{16} - 18 q^{17} - 2 q^{18} - 30 q^{19} - 24 q^{21} - 88 q^{22} + 8 q^{23} - 120 q^{24} + 14 q^{25} - 36 q^{26} - 40 q^{29} - 10 q^{30} - 36 q^{31} - 48 q^{32} + 150 q^{33} + 8 q^{35} + 920 q^{36} - 10 q^{37} - 18 q^{38} + 40 q^{39} - 18 q^{40} - 116 q^{42} - 4 q^{43} + 70 q^{44} - 144 q^{45} - 2 q^{46} - 36 q^{47} - 60 q^{49} + 72 q^{50} - 12 q^{51} + 30 q^{52} + 24 q^{53} + 120 q^{54} - 32 q^{56} - 192 q^{57} + 58 q^{58} - 30 q^{59} - 46 q^{60} - 6 q^{61} - 18 q^{63} - 360 q^{64} - 40 q^{65} - 90 q^{66} + 16 q^{67} - 192 q^{68} + 48 q^{70} - 48 q^{71} + 34 q^{72} + 222 q^{73} + 110 q^{74} + 174 q^{75} - 20 q^{77} + 168 q^{78} - 10 q^{79} + 210 q^{80} - 410 q^{81} - 30 q^{82} - 20 q^{84} - 184 q^{85} - 2 q^{86} - 120 q^{87} - 66 q^{88} - 210 q^{89} - 24 q^{91} + 72 q^{92} + 62 q^{93} - 30 q^{94} - 104 q^{95} - 150 q^{96} - 124 q^{98} + O(q^{100}) \)

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.