Properties

Base field \(\Q(\sqrt{-2}) \)
Level 16200.3
Norm 16200
New dimension 7

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

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

Level 16200.3

Norm: 16200
Ideal: \((90 a) = \left(a\right)^{3} \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(5\right) \)
Label: 16200.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 271
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
16200.3-a 2 -1 yes no
16200.3-b 2 +1 no no
16200.3-c 2 +1 no no
16200.3-d 2 +1 yes no
16200.3-e 2 -1 yes no
16200.3-f 2 -1 yes no
16200.3-g 2 +1 yes no