Properties

Base field \(\Q(\sqrt{-111}) \)
Level 20.3
Norm 20
New dimension 2

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Base field \(\Q(\sqrt{-111}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 28\); class number \(8\).

Level 20.3

Norm: 20
Ideal: \((10) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(5, a + 1\right) \)
Label: 20.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 26
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

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