Properties

Base field \(\Q(\sqrt{-55}) \)
Level 56.5
Norm 56
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 56.5

Norm: 56
Ideal: \((28) = \left(2, a\right) \cdot \left(2, a + 1\right)^{2} \cdot \left(7, a\right) \)
Label: 56.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

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