Properties

Base field \(\Q(\sqrt{-2}) \)
Level 20808.9
Norm 20808
New dimension 3

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

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

Level 20808.9

Norm: 20808
Ideal: \((94 a + 56) = \left(a\right)^{3} \cdot \left(a - 1\right)^{2} \cdot \left(2 a + 3\right)^{2} \)
Label: 20808.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 43
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
20808.9-a 2 -1 no no
20808.9-b 2 +1 no no
20808.9-c 2 -1 no no