Properties

Base field \(\Q(\sqrt{-2}) \)
Level 34848.7
Norm 34848
New dimension 3

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

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

Level 34848.7

Norm: 34848
Ideal: \((-68 a - 160) = \left(a\right)^{5} \cdot \left(a - 1\right)^{2} \cdot \left(a + 3\right)^{2} \)
Label: 34848.7

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 241
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
34848.7-a 2 +1 no $-4$
34848.7-b 2 -1 no $-4$
34848.7-c 2 -1 no $-4$