Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1057.1
Norm 1057
New dimension 1

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Base field \(\Q(\sqrt{-7}) \)

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

Level 1057.1

Norm: 1057
Ideal: \((-24 a + 5) = \left(-2 a + 1\right) \cdot \left(-2 a + 13\right) \)
Label: 1057.1

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
1057.1-a 2 -1 no no