Properties

Base field \(\Q(\sqrt{-2}) \)
Level 13122.5
Norm 13122
New dimension 8

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

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

Level 13122.5

Norm: 13122
Ideal: \((81 a) = \left(a\right) \cdot \left(-a - 1\right)^{4} \cdot \left(a - 1\right)^{4} \)
Label: 13122.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 162
Dimension of new cuspidal subspace: 8

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
13122.5-a 2 +1 no no
13122.5-b 2 -1 yes no
13122.5-c 2 +1 no no
13122.5-d 2 -1 yes no
13122.5-e 2 +1 yes no
13122.5-f 2 +1 no no
13122.5-g 2 +1 yes no
13122.5-h 2 +1 no no