Properties

Base field \(\Q(\sqrt{-2}) \)
Level 288.2
Norm 288
New dimension 4

Related objects

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

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

Level 288.2

Norm: 288
Ideal: \((12 a) = \left(a\right)^{5} \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \)
Label: 288.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
288.2-a 2 1 -1 yes no
288.2-b 2 1 +1 yes (twist) no
288.2-c 2 1 +1 yes (twist) no
288.2-d 2 1 +1 yes no