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Properties

Label 1925.2.ev
Level $1925$
Weight $2$
Character orbit 1925.ev
Rep. character $\chi_{1925}(94,\cdot)$
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.ev (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

\( 1888 q - 5 q^{2} + 231 q^{4} + 5 q^{7} - 20 q^{8} - 918 q^{9} + O(q^{10}) \) \( 1888 q - 5 q^{2} + 231 q^{4} + 5 q^{7} - 20 q^{8} - 918 q^{9} + 30 q^{10} - 10 q^{14} + 14 q^{15} + 231 q^{16} - 15 q^{17} - 15 q^{18} - 15 q^{19} + 15 q^{21} - 20 q^{22} - 10 q^{23} + 30 q^{24} + 18 q^{25} + 18 q^{26} - 80 q^{28} - 20 q^{29} + 25 q^{30} - 9 q^{31} - 180 q^{33} + 30 q^{35} - 438 q^{36} - 10 q^{37} - 15 q^{38} - 15 q^{40} - 10 q^{42} - 23 q^{44} - 90 q^{45} - 5 q^{46} - q^{49} - 20 q^{50} + 20 q^{51} + 45 q^{52} - 5 q^{53} + 30 q^{54} - 20 q^{56} + 40 q^{57} - 5 q^{58} - 3 q^{59} - 80 q^{60} - 80 q^{63} - 520 q^{64} + 25 q^{65} - 39 q^{66} - 10 q^{67} + 135 q^{68} - 28 q^{70} - 36 q^{71} - 15 q^{72} - 15 q^{73} - 45 q^{74} - 27 q^{75} + 20 q^{77} + 110 q^{78} - 45 q^{79} + 75 q^{80} - 872 q^{81} - 30 q^{82} - 5 q^{84} + 190 q^{85} + 3 q^{86} + 110 q^{88} + 42 q^{89} + 12 q^{91} - 10 q^{93} - 15 q^{94} + 35 q^{95} - 50 q^{98} + 58 q^{99} + O(q^{100}) \)

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.