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Properties

Label 1925.2.fp
Level $1925$
Weight $2$
Character orbit 1925.fp
Rep. character $\chi_{1925}(228,\cdot)$
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.fp (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

\( 3776 q - 10 q^{2} - 6 q^{3} - 10 q^{4} - 12 q^{5} - 10 q^{9} + O(q^{10}) \) \( 3776 q - 10 q^{2} - 6 q^{3} - 10 q^{4} - 12 q^{5} - 10 q^{9} - 6 q^{11} + 20 q^{12} - 40 q^{13} - 48 q^{15} - 450 q^{16} - 30 q^{17} + 20 q^{18} - 10 q^{19} + 8 q^{20} + 8 q^{23} + 40 q^{24} + 4 q^{25} - 12 q^{26} - 100 q^{28} - 40 q^{29} - 10 q^{30} - 2 q^{31} + 42 q^{33} - 80 q^{34} + 40 q^{35} - 3600 q^{36} + 36 q^{37} - 22 q^{38} + 40 q^{39} - 10 q^{40} - 40 q^{41} - 40 q^{42} + 100 q^{43} - 10 q^{44} + 56 q^{45} - 26 q^{47} + 112 q^{48} + 60 q^{49} - 40 q^{50} - 20 q^{51} - 50 q^{52} + 14 q^{53} + 60 q^{54} - 56 q^{55} - 32 q^{56} - 200 q^{57} + 110 q^{58} + 14 q^{60} - 10 q^{61} - 40 q^{62} + 50 q^{63} + 40 q^{64} - 100 q^{65} + 30 q^{66} - 48 q^{67} - 10 q^{68} - 40 q^{69} - 114 q^{70} - 8 q^{71} + 30 q^{72} - 10 q^{73} + 110 q^{74} + 58 q^{75} - 60 q^{77} - 8 q^{78} - 180 q^{79} - 62 q^{80} - 410 q^{81} + 2 q^{82} - 40 q^{83} + 200 q^{84} - 240 q^{85} - 2 q^{86} + 180 q^{87} + 26 q^{88} - 70 q^{89} - 120 q^{90} - 4 q^{91} + 64 q^{92} - 150 q^{93} - 20 q^{94} - 110 q^{95} + 70 q^{96} - 184 q^{97} + O(q^{100}) \)

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.