Properties

Base field \(\Q(\sqrt{-2}) \)
Level 297.5
Norm 297
New dimension 1

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

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

Level 297.5

Norm: 297
Ideal: \((-6 a + 15) = \left(-a - 1\right) \cdot \left(a - 1\right)^{2} \cdot \left(a + 3\right) \)
Label: 297.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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