Properties

Label 1925.2.bc
Level $1925$
Weight $2$
Character orbit 1925.bc
Rep. character $\chi_{1925}(41,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $944$
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.bc (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1925, [\chi])\).

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q - 940 q^{4} - 15 q^{7} + 226 q^{9} + O(q^{10}) \) \( 944 q - 940 q^{4} - 15 q^{7} + 226 q^{9} - 2 q^{11} + q^{14} - 26 q^{15} + 908 q^{16} + 10 q^{18} - 15 q^{21} + 6 q^{22} + 20 q^{23} + 42 q^{25} + 25 q^{28} + 10 q^{30} - 20 q^{35} - 246 q^{36} - 10 q^{39} + 19 q^{42} - 34 q^{44} + 50 q^{46} - 17 q^{49} + 90 q^{50} + 10 q^{51} - 42 q^{53} - q^{56} - 200 q^{57} - 76 q^{58} + 20 q^{60} - 70 q^{63} - 844 q^{64} + 50 q^{65} - 20 q^{67} - 37 q^{70} - 6 q^{71} + 50 q^{72} - 110 q^{74} - 78 q^{77} - 18 q^{78} + 70 q^{79} - 246 q^{81} + 20 q^{84} - 40 q^{85} + 60 q^{86} + 6 q^{88} + 8 q^{91} - 66 q^{92} + 58 q^{93} - 140 q^{95} - 30 q^{98} + 2 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1925, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.