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Properties

Label 1925.2.p
Level $1925$
Weight $2$
Character orbit 1925.p
Rep. character $\chi_{1925}(526,\cdot)$
Character field $\Q(\zeta_{5})$
Dimension $456$
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.p (of order \(5\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 11 \)
Character field: \(\Q(\zeta_{5})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 1008 456 552
Cusp forms 912 456 456
Eisenstein series 96 0 96

Trace form

\( 456 q - 4 q^{2} - 2 q^{3} - 116 q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{8} - 130 q^{9} + O(q^{10}) \) \( 456 q - 4 q^{2} - 2 q^{3} - 116 q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{8} - 130 q^{9} + 6 q^{11} - 28 q^{12} + 14 q^{13} + 3 q^{14} - 142 q^{16} - 16 q^{17} + 15 q^{18} + 26 q^{19} - 12 q^{21} + 10 q^{22} + 50 q^{24} - 2 q^{26} + 16 q^{27} + 11 q^{28} + 26 q^{29} + 26 q^{31} + 52 q^{32} + 16 q^{33} - 16 q^{34} - 106 q^{36} + 38 q^{37} + 14 q^{38} + 30 q^{39} - 32 q^{41} + 8 q^{43} + 91 q^{44} - 11 q^{46} + 32 q^{47} - 88 q^{48} - 114 q^{49} - 58 q^{51} - 90 q^{52} + 10 q^{53} - 168 q^{54} - 30 q^{56} - 46 q^{57} + 61 q^{58} + 46 q^{59} + 32 q^{61} - 114 q^{62} - 10 q^{63} - 184 q^{64} + 90 q^{66} - 4 q^{67} + 62 q^{68} - 82 q^{69} - 8 q^{71} - 177 q^{72} - 8 q^{73} + 54 q^{74} + 104 q^{76} - 44 q^{78} + 22 q^{79} - 82 q^{81} + 74 q^{82} + 12 q^{83} - 12 q^{84} + 27 q^{86} + 4 q^{87} - 112 q^{88} + 152 q^{89} - 18 q^{91} + 59 q^{92} - 28 q^{93} + 54 q^{94} - 8 q^{96} + 94 q^{97} + 6 q^{98} - 44 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(385, [\chi])\)\(^{\oplus 2}\)