Properties

Base field \(\Q(\sqrt{-2}) \)
Level 34848.4
Norm 34848
New dimension 12

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

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

Level 34848.4

Norm: 34848
Ideal: \((84 a - 144) = \left(a\right)^{5} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(a + 3\right)^{2} \)
Label: 34848.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 413
Dimension of new cuspidal subspace: 12

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
34848.4-a 2 -1 no no
34848.4-b 2 +1 no no
34848.4-c 2 +1 no no
34848.4-d 2 +1 no no
34848.4-e 2 -1 no no
34848.4-f 2 -1 no no
34848.4-g 2 +1 no no
34848.4-h 2 -1 no no
34848.4-i 2 +1 no no
34848.4-j 2 -1 no no
34848.4-k 2 +1 no no
34848.4-l 2 -1 no no