Properties

Base field \(\Q(\sqrt{-15}) \)
Level 38.2
Norm 38
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 38.2

Norm: 38
Ideal: \((38) = \left(2, a\right) \cdot \left(2 a + 1\right) \)
Label: 38.2

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
38.2-a 2 -1 no no
38.2-b 2 +1 no no