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Properties

Label 1925.2.i
Level $1925$
Weight $2$
Character orbit 1925.i
Rep. character $\chi_{1925}(1101,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $252$
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.i (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 504 252 252
Cusp forms 456 252 204
Eisenstein series 48 0 48

Trace form

\( 252 q - 2 q^{3} - 124 q^{4} + 8 q^{6} + 2 q^{7} + 12 q^{8} - 128 q^{9} + O(q^{10}) \) \( 252 q - 2 q^{3} - 124 q^{4} + 8 q^{6} + 2 q^{7} + 12 q^{8} - 128 q^{9} + 6 q^{12} - 16 q^{13} - 20 q^{14} - 124 q^{16} - 6 q^{17} + 18 q^{18} + 6 q^{19} + 14 q^{21} + 12 q^{23} - 32 q^{24} + 30 q^{26} + 16 q^{27} - 36 q^{28} + 24 q^{29} + 2 q^{31} + 28 q^{32} - 4 q^{33} + 16 q^{34} + 196 q^{36} + 4 q^{37} - 36 q^{38} + 22 q^{39} - 8 q^{41} - 28 q^{42} + 20 q^{43} - 4 q^{44} - 30 q^{46} - 18 q^{47} + 48 q^{48} + 4 q^{49} - 8 q^{51} + 42 q^{52} + 14 q^{53} + 18 q^{54} + 90 q^{56} - 32 q^{57} + 22 q^{58} - 8 q^{61} - 76 q^{62} + 10 q^{63} + 228 q^{64} + 18 q^{66} - 24 q^{67} - 32 q^{68} - 52 q^{69} + 36 q^{71} + 6 q^{72} - 18 q^{73} + 8 q^{74} - 8 q^{76} - 2 q^{77} + 136 q^{78} + 40 q^{79} - 150 q^{81} + 26 q^{82} - 60 q^{83} + 40 q^{84} - 2 q^{86} - 42 q^{87} + 12 q^{88} - 10 q^{89} + 94 q^{91} - 44 q^{92} - 56 q^{93} + 26 q^{94} + 18 q^{96} + 12 q^{97} - 22 q^{98} + O(q^{100}) \)

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

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