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Properties

Label 1925.2.bu
Level $1925$
Weight $2$
Character orbit 1925.bu
Rep. character $\chi_{1925}(6,\cdot)$
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.bu (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

\( 944 q - 10 q^{2} + 230 q^{4} - 15 q^{7} - 10 q^{8} - 924 q^{9} + O(q^{10}) \) \( 944 q - 10 q^{2} + 230 q^{4} - 15 q^{7} - 10 q^{8} - 924 q^{9} - 12 q^{11} - 9 q^{14} + 4 q^{15} - 242 q^{16} + 10 q^{18} + 15 q^{21} - 14 q^{22} + 20 q^{23} - 48 q^{25} + 45 q^{28} - 10 q^{29} + 20 q^{30} - 25 q^{35} - 236 q^{36} + 9 q^{42} - 14 q^{44} - 10 q^{46} - 17 q^{49} - 10 q^{50} + 10 q^{51} + 58 q^{53} - q^{56} - 200 q^{57} - 106 q^{58} + 5 q^{63} + 206 q^{64} - 50 q^{65} - 20 q^{67} + 33 q^{70} + 14 q^{71} - 60 q^{72} - 110 q^{74} - 58 q^{77} - 18 q^{78} - 90 q^{79} + 904 q^{81} + 30 q^{84} - 10 q^{86} - 24 q^{88} + 28 q^{91} + 124 q^{92} + 58 q^{93} + 70 q^{95} + 30 q^{98} + 2 q^{99} + O(q^{100}) \)

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.