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Properties

Label 1925.2.cw
Level $1925$
Weight $2$
Character orbit 1925.cw
Rep. character $\chi_{1925}(401,\cdot)$
Character field $\Q(\zeta_{15})$
Dimension $1168$
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.cw (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
Character field: \(\Q(\zeta_{15})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 2016 1264 752
Cusp forms 1824 1168 656
Eisenstein series 192 96 96

Trace form

\( 1168 q + q^{2} + 3 q^{3} + 141 q^{4} - 36 q^{6} + 7 q^{7} + 12 q^{8} + 131 q^{9} + O(q^{10}) \) \( 1168 q + q^{2} + 3 q^{3} + 141 q^{4} - 36 q^{6} + 7 q^{7} + 12 q^{8} + 131 q^{9} - 15 q^{11} + 16 q^{12} + 20 q^{13} - 24 q^{14} + 107 q^{16} - 17 q^{17} + 28 q^{18} + 7 q^{19} - 38 q^{21} + 72 q^{22} + 2 q^{23} + 43 q^{24} - 21 q^{26} + 42 q^{27} - 28 q^{28} + 32 q^{29} - 3 q^{31} + 4 q^{32} + 22 q^{33} + 56 q^{34} - 358 q^{36} + 21 q^{37} + 25 q^{38} - 9 q^{39} - 74 q^{41} - 76 q^{42} + 60 q^{43} + 94 q^{44} + 12 q^{46} - 15 q^{47} + 66 q^{48} + 25 q^{49} + q^{51} + 3 q^{52} + 7 q^{53} - 164 q^{54} - 64 q^{56} - 60 q^{57} + 32 q^{58} + 9 q^{59} - 6 q^{61} + 8 q^{62} - 30 q^{63} - 180 q^{64} + 55 q^{66} + 20 q^{67} - 63 q^{68} - 34 q^{69} - 4 q^{71} + 10 q^{72} - 60 q^{73} - 45 q^{74} - 48 q^{76} + 60 q^{78} + 12 q^{79} + 93 q^{81} - 5 q^{82} + 28 q^{83} + 39 q^{84} + 22 q^{86} + 126 q^{87} + 9 q^{88} + 10 q^{89} + 32 q^{91} - 22 q^{92} + 10 q^{93} + 79 q^{94} + 75 q^{96} - 4 q^{97} - 96 q^{98} - 148 q^{99} + O(q^{100}) \)

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.

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

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)