Properties

Label 784.1.be
Level $784$
Weight $1$
Character orbit 784.be
Rep. character $\chi_{784}(209,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $0$
Newform subspaces $0$
Sturm bound $112$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 784 = 2^{4} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 784.be (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 49 \)
Character field: \(\Q(\zeta_{14})\)
Newform subspaces: \( 0 \)
Sturm bound: \(112\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(784, [\chi])\).

Total New Old
Modular forms 36 6 30
Cusp forms 0 0 0
Eisenstein series 36 6 30

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