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Properties

Label 1925.2.cq
Level $1925$
Weight $2$
Character orbit 1925.cq
Rep. character $\chi_{1925}(32,\cdot)$
Character field $\Q(\zeta_{12})$
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.cq (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 385 \)
Character field: \(\Q(\zeta_{12})\)
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

\( 560 q + 4 q^{3} + O(q^{10}) \) \( 560 q + 4 q^{3} - 4 q^{11} + 20 q^{12} + 264 q^{16} + 40 q^{22} - 12 q^{23} - 56 q^{26} + 40 q^{27} - 8 q^{31} - 8 q^{33} - 448 q^{36} - 24 q^{37} - 12 q^{38} - 60 q^{42} - 16 q^{47} - 88 q^{48} + 24 q^{53} + 96 q^{56} + 20 q^{58} + 84 q^{66} - 28 q^{67} + 160 q^{71} - 40 q^{77} - 168 q^{78} + 176 q^{81} + 12 q^{82} + 32 q^{86} - 44 q^{88} - 144 q^{91} - 16 q^{92} + 60 q^{93} - 144 q^{97} + O(q^{100}) \)

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

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