Properties

Label 2800.2.ck
Level $2800$
Weight $2$
Character orbit 2800.ck
Rep. character $\chi_{2800}(111,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $480$
Sturm bound $960$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2800 = 2^{4} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2800.ck (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 700 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2800, [\chi])\).

Total New Old
Modular forms 1968 480 1488
Cusp forms 1872 480 1392
Eisenstein series 96 0 96

Trace form

\( 480 q - 120 q^{9} + O(q^{10}) \) \( 480 q - 120 q^{9} + 24 q^{25} + 24 q^{49} - 48 q^{57} - 24 q^{65} + 24 q^{77} - 192 q^{81} - 192 q^{93} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2800, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2800, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(700, [\chi])\)\(^{\oplus 3}\)