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Properties

Label 1925.2.gf
Level $1925$
Weight $2$
Character orbit 1925.gf
Rep. character $\chi_{1925}(513,\cdot)$
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.gf (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

\( 3776 q - 10 q^{2} - 6 q^{3} - 10 q^{4} - 12 q^{5} - 40 q^{6} - 30 q^{7} - 40 q^{8} + O(q^{10}) \) \( 3776 q - 10 q^{2} - 6 q^{3} - 10 q^{4} - 12 q^{5} - 40 q^{6} - 30 q^{7} - 40 q^{8} - 20 q^{10} - 6 q^{11} - 60 q^{12} - 40 q^{13} - 20 q^{14} - 8 q^{15} - 450 q^{16} - 30 q^{17} - 10 q^{18} - 10 q^{19} + 8 q^{20} - 32 q^{23} - 40 q^{24} - 36 q^{25} - 12 q^{26} - 60 q^{27} - 80 q^{28} - 40 q^{29} - 10 q^{30} - 2 q^{31} - 80 q^{32} - 18 q^{33} - 80 q^{34} - 20 q^{35} + 840 q^{36} - 4 q^{37} - 22 q^{38} - 120 q^{39} - 10 q^{40} - 40 q^{41} + 40 q^{42} - 10 q^{44} - 44 q^{45} - 10 q^{46} - 26 q^{47} - 128 q^{48} + 110 q^{49} - 40 q^{50} - 20 q^{51} - 10 q^{52} - 36 q^{53} + 60 q^{54} + 44 q^{55} - 32 q^{56} - 200 q^{57} + 10 q^{58} - 10 q^{59} - 46 q^{60} - 40 q^{62} - 60 q^{63} + 200 q^{64} + 30 q^{66} - 8 q^{67} - 40 q^{69} - 114 q^{70} - 8 q^{71} + 70 q^{72} + 110 q^{73} - 110 q^{74} + 58 q^{75} + 120 q^{77} - 208 q^{78} + 70 q^{79} - 102 q^{80} + 1620 q^{81} + 22 q^{82} - 40 q^{83} - 140 q^{84} + 40 q^{85} - 2 q^{86} + 30 q^{87} - 44 q^{88} - 20 q^{89} - 460 q^{90} - 4 q^{91} + 144 q^{92} - 70 q^{93} - 10 q^{94} + 70 q^{95} - 184 q^{97} - 80 q^{98} - 120 q^{99} + O(q^{100}) \)

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.