Properties

Label 1925.2.bi
Level $1925$
Weight $2$
Character orbit 1925.bi
Rep. character $\chi_{1925}(349,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $560$
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.bi (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 1008 592 416
Cusp forms 912 560 352
Eisenstein series 96 32 64

Trace form

\( 560 q - 124 q^{4} - 108 q^{9} + O(q^{10}) \) \( 560 q - 124 q^{4} - 108 q^{9} - 16 q^{11} - 6 q^{14} - 140 q^{16} + 20 q^{29} - 112 q^{36} + 100 q^{39} - 40 q^{44} - 30 q^{46} + 64 q^{49} - 20 q^{51} + 76 q^{56} - 304 q^{64} + 28 q^{71} + 300 q^{74} + 20 q^{79} - 252 q^{81} - 100 q^{84} - 64 q^{86} - 64 q^{91} + 148 q^{99} + O(q^{100}) \)

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

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