Properties

Base field \(\Q(\sqrt{-11}) \)
Level 47.1
Norm 47
New dimension 1

Related objects

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 47.1

Norm: 47
Ideal: \((-2 a + 7) = \left(-2 a + 7\right) \)
Label: 47.1

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
47.1-a 2 1 -1 no no