Properties

Base field \(\Q(\sqrt{-2}) \)
Level 722.2
Norm 722
New dimension 2

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

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

Level 722.2

Norm: 722
Ideal: \((19 a) = \left(a\right) \cdot \left(-3 a + 1\right) \cdot \left(3 a + 1\right) \)
Label: 722.2

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
722.2-a 2 -1 yes no
722.2-b 2 +1 yes no