Properties

Base field \(\Q(\sqrt{-3}) \)
Level 399.3
Norm 399
New dimension 1

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Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 1\); class number \(1\).

Level 399.3

Norm: 399
Ideal: \((5 a - 22) = \left(a + 1\right) \cdot \left(a - 3\right) \cdot \left(-2 a + 5\right) \)
Label: 399.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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