↑

Properties

Label 1925.2.ee
Level $1925$
Weight $2$
Character orbit 1925.ee
Rep. character $\chi_{1925}(131,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1888$
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.ee (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(480\)

Dimensions

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

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

Trace form

\( 1888 q - 18 q^{3} - 238 q^{4} - 30 q^{5} - 234 q^{9} + O(q^{10}) \) \( 1888 q - 18 q^{3} - 238 q^{4} - 30 q^{5} - 234 q^{9} - 6 q^{11} + 6 q^{12} - 24 q^{14} - 12 q^{15} + 210 q^{16} + 12 q^{22} - 30 q^{23} - 26 q^{25} - 24 q^{26} + 18 q^{31} - 488 q^{36} - 34 q^{37} - 18 q^{38} - 20 q^{42} - 31 q^{44} + 156 q^{45} - 6 q^{47} - 76 q^{49} - 26 q^{53} + 64 q^{56} - 82 q^{58} - 18 q^{59} - 26 q^{60} + 384 q^{64} + 93 q^{66} - 6 q^{67} - 108 q^{70} + 8 q^{71} - 222 q^{75} - 29 q^{77} + 4 q^{78} - 36 q^{80} + 218 q^{81} + 168 q^{82} + 30 q^{86} + 24 q^{88} - 108 q^{89} - 56 q^{91} + 40 q^{92} - 216 q^{93} - 68 q^{99} + O(q^{100}) \)

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.