↑

Properties

Label 1925.2.cg
Level $1925$
Weight $2$
Character orbit 1925.cg
Rep. character $\chi_{1925}(391,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $944$
Sturm bound $480$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1925 = 5^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1925.cg (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

\( 944 q - 10 q^{2} + 230 q^{4} - 30 q^{8} + 226 q^{9} + O(q^{10}) \) \( 944 q - 10 q^{2} + 230 q^{4} - 30 q^{8} + 226 q^{9} - 2 q^{11} + q^{14} + 4 q^{15} - 222 q^{16} - 50 q^{18} - 34 q^{22} - 20 q^{23} + 42 q^{25} - 10 q^{29} - 30 q^{30} - 30 q^{35} - 176 q^{36} - 10 q^{37} - 30 q^{39} + 34 q^{42} - 54 q^{44} - 30 q^{46} + 8 q^{49} - 90 q^{50} - 50 q^{51} + 58 q^{53} - 36 q^{56} - 160 q^{57} + 74 q^{58} + 30 q^{60} + 166 q^{64} + 40 q^{65} - 60 q^{67} - 77 q^{70} + 4 q^{71} + 70 q^{74} + 87 q^{77} - 88 q^{78} - 10 q^{79} - 216 q^{81} + 20 q^{85} + 50 q^{86} - 114 q^{88} + 18 q^{91} - 6 q^{92} + 58 q^{93} - 80 q^{95} - 70 q^{98} - 28 q^{99} + O(q^{100}) \)

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.