Properties

Base field \(\Q(\sqrt{-2}) \)
Level 1728.3
Norm 1728
New dimension 2

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

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

Level 1728.3

Norm: 1728
Ideal: \((24 a - 24) = \left(a\right)^{6} \cdot \left(-a - 1\right) \cdot \left(a - 1\right)^{2} \)
Label: 1728.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 56
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1728.3-a 2 -1 yes (twist) no
1728.3-b 2 +1 yes (twist) no