Properties

Base field \(\Q(\sqrt{-15}) \)
Level 54.1
Norm 54
New dimension 2

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Base field \(\Q(\sqrt{-15}) \)

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

Level 54.1

Norm: 54
Ideal: \((-3 a + 6) = \left(2, a\right) \cdot \left(3, a + 1\right)^{3} \)
Label: 54.1

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
54.1-a 2 +1 no no
54.1-b 2 +1 no no