Properties

Base field \(\Q(\sqrt{-2}) \)
Level 6889.2
Norm 6889
New dimension 7

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

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

Level 6889.2

Norm: 6889
Ideal: \((83) = \left(a + 9\right) \cdot \left(a - 9\right) \)
Label: 6889.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
6889.2-a 2 -1 yes no