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Properties

Label 1925.2.ed
Level $1925$
Weight $2$
Character orbit 1925.ed
Rep. character $\chi_{1925}(206,\cdot)$
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.ed (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

\( 1888 q - 5 q^{2} - 3 q^{3} - 233 q^{4} - 15 q^{5} - 30 q^{7} - 229 q^{9} + O(q^{10}) \) \( 1888 q - 5 q^{2} - 3 q^{3} - 233 q^{4} - 15 q^{5} - 30 q^{7} - 229 q^{9} - q^{11} - 24 q^{12} - 4 q^{14} - 22 q^{15} + 225 q^{16} - 15 q^{17} - 25 q^{18} - 15 q^{19} - 8 q^{22} - 10 q^{23} - 90 q^{24} + 9 q^{25} + 6 q^{26} - 20 q^{29} - 15 q^{30} + 18 q^{31} + 90 q^{33} + 15 q^{35} - 478 q^{36} - 29 q^{37} - 3 q^{38} - 15 q^{39} - 15 q^{40} + 20 q^{42} + 9 q^{44} - 84 q^{45} + 15 q^{46} - 21 q^{47} - 26 q^{49} + 60 q^{50} + 20 q^{51} - 15 q^{52} + 29 q^{53} + 90 q^{54} - 66 q^{56} + 160 q^{57} + 73 q^{58} - 3 q^{59} + 39 q^{60} + 344 q^{64} + 50 q^{65} + 93 q^{66} - 6 q^{67} - 195 q^{68} + 62 q^{70} + 8 q^{71} + 65 q^{74} - 87 q^{75} - 24 q^{77} - 56 q^{78} - 5 q^{79} - 171 q^{80} + 198 q^{81} - 72 q^{82} - 15 q^{84} - 110 q^{85} + 25 q^{86} - 60 q^{87} - 21 q^{88} - 33 q^{89} + 84 q^{91} - 76 q^{93} - 15 q^{94} - 40 q^{95} + 165 q^{96} - 140 q^{98} - 68 q^{99} + O(q^{100}) \)

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.