Properties

Base field \(\Q(\sqrt{-55}) \)
Level 80.3
Norm 80
New dimension 2

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Base field \(\Q(\sqrt{-55}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 14\); class number \(4\).

Level 80.3

Norm: 80
Ideal: \((20) = \left(2, a\right)^{2} \cdot \left(2, a + 1\right)^{2} \cdot \left(5, a + 2\right) \)
Label: 80.3

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
80.3-a 2 -1 yes no
80.3-b 2 -1 yes no