Properties

Base field \(\Q(\sqrt{-31}) \)
Level 50.1
Norm 50
New dimension 1

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Base field \(\Q(\sqrt{-31}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 8\); class number \(3\).

Level 50.1

Norm: 50
Ideal: \((-a - 6) = \left(2, a\right) \cdot \left(5, a + 1\right)^{2} \)
Label: 50.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
50.1-a 2 +1 no no