Properties

Label 2500.1.q
Level $2500$
Weight $1$
Character orbit 2500.q
Rep. character $\chi_{2500}(93,\cdot)$
Character field $\Q(\zeta_{100})$
Dimension $0$
Newform subspaces $0$
Sturm bound $375$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2500 = 2^{2} \cdot 5^{4} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2500.q (of order \(100\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 125 \)
Character field: \(\Q(\zeta_{100})\)
Newform subspaces: \( 0 \)
Sturm bound: \(375\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2500, [\chi])\).

Total New Old
Modular forms 600 0 600
Cusp forms 0 0 0
Eisenstein series 600 0 600

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0