Properties

Base field \(\Q(\sqrt{-6}) \)
Level 147.2
Norm 147
New dimension 2

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Base field \(\Q(\sqrt{-6}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 6\); class number \(2\).

Level 147.2

Norm: 147
Ideal: \((21) = \left(3, a\right) \cdot \left(a + 1\right) \cdot \left(a - 1\right) \)
Label: 147.2

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
147.2-a 2 +1 yes no
147.2-b 2 -1 yes no