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Properties

Label 1925.2.ei
Level $1925$
Weight $2$
Character orbit 1925.ei
Rep. character $\chi_{1925}(324,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1120$
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.ei (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
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 1184 832
Cusp forms 1824 1120 704
Eisenstein series 192 64 128

Trace form

\( 1120 q - 130 q^{4} - 24 q^{6} - 114 q^{9} + O(q^{10}) \) \( 1120 q - 130 q^{4} - 24 q^{6} - 114 q^{9} - 6 q^{11} + 48 q^{14} + 122 q^{16} + 30 q^{19} - 44 q^{21} - 22 q^{24} + 10 q^{26} + 40 q^{29} - 18 q^{31} + 144 q^{34} - 340 q^{36} + 14 q^{39} - 56 q^{41} + 24 q^{44} + 12 q^{46} - 34 q^{49} - 46 q^{51} - 64 q^{54} + 8 q^{56} + 6 q^{59} - 84 q^{61} + 296 q^{64} - 30 q^{66} - 44 q^{69} - 104 q^{71} - 86 q^{74} - 576 q^{76} - 34 q^{79} + 78 q^{81} - 186 q^{84} - 74 q^{86} - 52 q^{89} + 4 q^{91} + 42 q^{94} + 10 q^{96} + 220 q^{99} + O(q^{100}) \)

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

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