Properties

Label 1925.2.cf
Level $1925$
Weight $2$
Character orbit 1925.cf
Rep. character $\chi_{1925}(461,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $944$
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.cf (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
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 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944 q + 220 q^{4} + 216 q^{9} + O(q^{10}) \) \( 944 q + 220 q^{4} + 216 q^{9} - 12 q^{11} + 6 q^{14} - 36 q^{15} - 252 q^{16} + 6 q^{22} - 60 q^{23} - 28 q^{25} - 196 q^{36} - 20 q^{37} - 106 q^{42} - 14 q^{44} + 28 q^{49} - 52 q^{53} + 44 q^{56} - 56 q^{58} - 100 q^{60} + 276 q^{64} - 60 q^{67} - 72 q^{70} + 4 q^{71} + 2 q^{77} + 32 q^{78} - 176 q^{81} + 60 q^{86} + 96 q^{88} - 52 q^{91} - 76 q^{92} + 168 q^{93} - 28 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1925, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.