Properties

Label 1776.1.d
Level $1776$
Weight $1$
Character orbit 1776.d
Rep. character $\chi_{1776}(1111,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $304$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1776 = 2^{4} \cdot 3 \cdot 37 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1776.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(304\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1776, [\chi])\).

Total New Old
Modular forms 8 0 8
Cusp forms 0 0 0
Eisenstein series 8 0 8

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