Properties

Base field \(\Q(\sqrt{-2}) \)
Level 484.2
Norm 484
New dimension 1

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

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

Level 484.2

Norm: 484
Ideal: \((22) = \left(a\right)^{2} \cdot \left(a + 3\right) \cdot \left(a - 3\right) \)
Label: 484.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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