Properties

Base field \(\Q(\sqrt{-2}) \)
Level 249.4
Norm 249
New dimension 1

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

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

Level 249.4

Norm: 249
Ideal: \((10 a - 7) = \left(a - 1\right) \cdot \left(a - 9\right) \)
Label: 249.4

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
249.4-a 2 -1 no no