Properties

Base field \(\Q(\sqrt{-2}) \)
Level 22500.2
Norm 22500
New dimension 6

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

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

Level 22500.2

Norm: 22500
Ideal: \((150) = \left(a\right)^{2} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(5\right)^{2} \)
Label: 22500.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 63
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
22500.2-a 2 1 +1 yes no
22500.2-b 2 1 +1 yes no
22500.2-c 2 1 -1 no no
22500.2-d 2 1 -1 no no
22500.2-e 2 1 +1 yes no
22500.2-f 2 1 +1 yes no