Properties

Base field \(\Q(\sqrt{-2}) \)
Level 338.1
Norm 338
New dimension 2

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Base field \(\Q(\sqrt{-2}) \)

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

Level 338.1

Norm: 338
Ideal: \((13 a) = \left(a\right) \cdot \left(13\right) \)
Label: 338.1

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