Properties

Label 1400.2.cz
Level $1400$
Weight $2$
Character orbit 1400.cz
Rep. character $\chi_{1400}(131,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1888$
Sturm bound $480$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1400 = 2^{3} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1400.cz (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1400 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1400, [\chi])\).

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

Trace form

\( 1888 q - 3 q^{2} - 18 q^{3} - 3 q^{4} - 30 q^{8} - 234 q^{9} - 21 q^{10} - 6 q^{11} - 9 q^{12} - 6 q^{14} - 3 q^{16} - 18 q^{17} - 22 q^{18} - 18 q^{19} - 20 q^{22} - 6 q^{24} - 8 q^{25} - 12 q^{26} - 44 q^{28}+ \cdots - 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(1400, [\chi])\) into newform subspaces

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