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Properties

Label 1925.2.dv
Level $1925$
Weight $2$
Character orbit 1925.dv
Rep. character $\chi_{1925}(197,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1440$
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.dv (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 275 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(480\)

Dimensions

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

Total New Old
Modular forms 1952 1440 512
Cusp forms 1888 1440 448
Eisenstein series 64 0 64

Trace form

\( 1440 q - 4 q^{3} + O(q^{10}) \) \( 1440 q - 4 q^{3} - 16 q^{12} - 16 q^{15} + 360 q^{16} + 24 q^{20} - 4 q^{22} + 4 q^{23} - 32 q^{25} - 64 q^{27} + 8 q^{33} + 360 q^{36} - 4 q^{37} + 104 q^{38} - 140 q^{44} - 12 q^{45} - 144 q^{47} - 24 q^{48} + 16 q^{53} - 48 q^{55} - 248 q^{58} + 20 q^{59} - 120 q^{60} - 320 q^{64} - 92 q^{67} - 16 q^{70} - 40 q^{71} + 48 q^{75} - 8 q^{77} - 344 q^{78} - 80 q^{80} + 320 q^{81} - 56 q^{82} + 128 q^{88} + 16 q^{92} - 152 q^{93} + 44 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(1925, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(275, [\chi])\)\(^{\oplus 2}\)