Properties

Base field \(\Q(\sqrt{-2}) \)
Level 1024.1
Norm 1024
New dimension 3

Related objects

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

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

Level 1024.1

Norm: 1024
Ideal: \((32) = \left(a\right)^{10} \)
Label: 1024.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 15
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
1024.1-a 2 1 +1 yes (twist) no
1024.1-b 2 1 -1 yes -4
1024.1-c 2 1 +1 yes (twist) no