Properties

Base field \(\Q(\sqrt{-31}) \)
Level 76.4
Norm 76
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 76.4

Norm: 76
Ideal: \((38) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(19, a + 13\right) \)
Label: 76.4

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
76.4-a 2 -1 no no