Properties

Label 1925.2.bt
Level $1925$
Weight $2$
Character orbit 1925.bt
Rep. character $\chi_{1925}(1114,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $720$
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.bt (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 275 \)
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 976 720 256
Cusp forms 944 720 224
Eisenstein series 32 0 32

Trace form

\( 720 q + 180 q^{4} + 2 q^{5} - 724 q^{9} + O(q^{10}) \) \( 720 q + 180 q^{4} + 2 q^{5} - 724 q^{9} - 16 q^{10} - 28 q^{15} - 188 q^{16} + 4 q^{19} - 28 q^{20} + 8 q^{21} + 90 q^{22} - 6 q^{25} - 10 q^{26} - 24 q^{29} - 18 q^{31} - 164 q^{36} - 20 q^{37} + 60 q^{38} + 128 q^{39} + 24 q^{40} - 28 q^{44} + 40 q^{45} + 32 q^{46} + 180 q^{49} - 78 q^{50} + 32 q^{51} - 40 q^{52} + 30 q^{53} + 12 q^{54} - 6 q^{55} - 20 q^{57} - 70 q^{58} + 12 q^{59} + 22 q^{60} + 32 q^{61} - 110 q^{62} + 232 q^{64} - 62 q^{65} + 36 q^{66} + 10 q^{67} + 84 q^{69} + 4 q^{70} + 38 q^{71} + 30 q^{73} - 40 q^{74} - 130 q^{75} + 4 q^{76} - 100 q^{78} - 40 q^{79} - 92 q^{80} + 712 q^{81} + 140 q^{82} + 100 q^{83} - 24 q^{84} - 60 q^{85} + 40 q^{86} + 160 q^{88} + 20 q^{89} + 458 q^{90} - 40 q^{93} - 114 q^{94} - 46 q^{95} - 228 q^{96} - 16 q^{99} + O(q^{100}) \)

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1925, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)