Properties

Base field \(\Q(\sqrt{-22}) \)
Level 338.2
Norm 338
New dimension 4

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Base field \(\Q(\sqrt{-22}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 22\); class number \(2\).

Level 338.2

Norm: 338
Ideal: \((26) = \left(2, a\right) \cdot \left(13, a + 2\right) \cdot \left(13, a + 11\right) \)
Label: 338.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
338.2-a 2 -1 yes no
338.2-b 2 -1 yes no
338.2-c 2 +1 yes no
338.2-d 2 +1 yes no