Properties

Base field \(\Q(\sqrt{-2}) \)
Level 289.2
Norm 289
New dimension 1

Related objects

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

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

Level 289.2

Norm: 289
Ideal: \((17) = \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \)
Label: 289.2

Modular form spaces

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

Newforms

This space contains the following newform.

label weight dimension sign base change CM
289.2-a 2 1 -1 yes no