Properties

Base field \(\Q(\sqrt{-2}) \)
Level 51.1
Norm 51
New dimension 1

Related objects

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

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

Level 51.1

Norm: 51
Ideal: \((a + 7) = \left(-a - 1\right) \cdot \left(-2 a + 3\right) \)
Label: 51.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform.

label weight dimension sign base change CM
51.1-a 2 1 -1 no no