Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1183.1
Norm 1183
New dimension 7

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

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

Level 1183.1

Norm: 1183
Ideal: \((-26 a + 13) = \left(-2 a + 1\right) \cdot \left(13\right) \)
Label: 1183.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
1183.1-a 2 +1 yes no
1183.1-b 2 -1 yes no