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Properties

Label 1925.2.eh
Level $1925$
Weight $2$
Character orbit 1925.eh
Rep. character $\chi_{1925}(101,\cdot)$
Character field $\Q(\zeta_{30})$
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.eh (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
Character field: \(\Q(\zeta_{30})\)
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

\( 1168 q + 5 q^{2} + 9 q^{3} - 139 q^{4} + 5 q^{7} + 40 q^{8} - 125 q^{9} + O(q^{10}) \) \( 1168 q + 5 q^{2} + 9 q^{3} - 139 q^{4} + 5 q^{7} + 40 q^{8} - 125 q^{9} - 19 q^{11} + 12 q^{12} + 16 q^{14} + 111 q^{16} + 45 q^{17} + 30 q^{18} + 15 q^{19} - 28 q^{22} + 10 q^{23} + 105 q^{24} + 9 q^{26} + 40 q^{28} - 45 q^{31} - 18 q^{33} - 378 q^{36} + 33 q^{37} + 51 q^{38} + 45 q^{39} - 16 q^{42} + 70 q^{44} - 100 q^{46} + 9 q^{47} - 39 q^{49} - 75 q^{51} + 15 q^{52} + 23 q^{53} - 144 q^{56} - 60 q^{57} - 12 q^{58} + 63 q^{59} - 30 q^{61} - 100 q^{63} + 132 q^{64} + 165 q^{66} - 20 q^{67} - 105 q^{68} + 76 q^{71} - 110 q^{72} - 30 q^{73} - 85 q^{74} + 44 q^{77} - 172 q^{78} - 60 q^{79} + 145 q^{81} - 87 q^{82} - 135 q^{84} - 64 q^{86} + 85 q^{88} - 6 q^{89} + 40 q^{91} - 90 q^{92} - 6 q^{93} - 165 q^{94} - 135 q^{96} + 104 q^{99} + O(q^{100}) \)

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

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