Properties

Base field \(\Q(\sqrt{-1}) \)
Level 512.1
Norm 512
New dimension 2

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Base field \(\Q(\sqrt{-1}) \)

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

Level 512.1

Norm: 512
Ideal: \((16 i + 16) = \left(i + 1\right)^{9} \)
Label: 512.1

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

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