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Properties

Label 1925.2.ek
Level $1925$
Weight $2$
Character orbit 1925.ek
Rep. character $\chi_{1925}(9,\cdot)$
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.ek (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

\( 1888 q - 5 q^{2} - 5 q^{3} - 233 q^{4} - 6 q^{5} + 16 q^{6} + 10 q^{7} - 229 q^{9} + O(q^{10}) \) \( 1888 q - 5 q^{2} - 5 q^{3} - 233 q^{4} - 6 q^{5} + 16 q^{6} + 10 q^{7} - 229 q^{9} + 4 q^{10} - 5 q^{11} - 20 q^{12} - 20 q^{13} - 4 q^{14} + 12 q^{15} + 225 q^{16} - 15 q^{18} - 17 q^{19} - 44 q^{20} + 20 q^{22} - 30 q^{23} - 30 q^{24} - 26 q^{25} - 14 q^{26} - 50 q^{27} + 20 q^{28} - 4 q^{29} - 43 q^{30} + q^{31} + 50 q^{33} - 28 q^{34} - 22 q^{35} + 1792 q^{36} - 25 q^{38} - 3 q^{39} - 20 q^{40} - 74 q^{41} - 40 q^{42} - 5 q^{44} - 8 q^{45} + 26 q^{46} - 5 q^{47} - 60 q^{48} - 26 q^{49} - 56 q^{50} - 12 q^{51} - 28 q^{54} - 20 q^{55} - 66 q^{56} + 40 q^{57} + 45 q^{58} - 6 q^{59} + 4 q^{60} + 19 q^{61} + 464 q^{64} - 18 q^{65} - 35 q^{66} - 10 q^{67} + 15 q^{68} - 10 q^{69} - 6 q^{70} + 4 q^{71} - 65 q^{72} - 5 q^{73} - 21 q^{74} + 8 q^{75} + 240 q^{76} - 20 q^{77} - 160 q^{78} - 54 q^{79} + 21 q^{80} + 174 q^{81} + 10 q^{82} - 122 q^{84} - 78 q^{85} + 7 q^{86} - 10 q^{87} - 45 q^{88} - 11 q^{89} - 224 q^{90} - 6 q^{91} + 120 q^{92} + 10 q^{93} + 98 q^{94} + 37 q^{95} - 19 q^{96} + 120 q^{98} - 44 q^{99} + O(q^{100}) \)

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.