Properties

Label 1925.2.bg
Level $1925$
Weight $2$
Character orbit 1925.bg
Rep. character $\chi_{1925}(1014,\cdot)$
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.bg (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

\( 944 q - 10 q^{2} - 234 q^{4} - 10 q^{7} + 10 q^{8} - 230 q^{9} + O(q^{10}) \) \( 944 q - 10 q^{2} - 234 q^{4} - 10 q^{7} + 10 q^{8} - 230 q^{9} - 10 q^{11} - 3 q^{14} - 32 q^{15} - 230 q^{16} + 30 q^{18} - 30 q^{22} - 60 q^{23} - 30 q^{25} + 90 q^{28} - 10 q^{29} + 10 q^{30} + 20 q^{35} - 196 q^{36} - 10 q^{37} - 90 q^{39} + 100 q^{43} - 38 q^{44} + 10 q^{46} + 8 q^{49} - 90 q^{50} + 10 q^{51} - 10 q^{53} + 16 q^{56} + 20 q^{57} - 30 q^{58} + 38 q^{60} + 120 q^{63} - 258 q^{64} + 40 q^{65} - 20 q^{67} + 7 q^{70} - 28 q^{71} + 140 q^{72} + 110 q^{74} - 5 q^{77} - 80 q^{78} - 10 q^{79} - 196 q^{81} - 10 q^{84} - 80 q^{85} - 54 q^{86} + 70 q^{88} - 30 q^{91} - 70 q^{92} + 70 q^{93} - 80 q^{95} + 70 q^{98} - 4 q^{99} + O(q^{100}) \)

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

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