Properties

Base field \(\Q(\sqrt{-31}) \)
Level 80.8
Norm 80
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 80.8

Norm: 80
Ideal: \((2 a + 6) = \left(2, a\right) \cdot \left(2, a + 1\right)^{3} \cdot \left(5, a + 3\right) \)
Label: 80.8

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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