Properties

Base field \(\Q(\sqrt{-7}) \)
Level 16641.2
Norm 16641
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 16641.2

Norm: 16641
Ideal: \((129) = \left(3\right) \cdot \left(-2 a + 7\right) \cdot \left(2 a + 5\right) \)
Label: 16641.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
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
16641.2-a 2 +1 yes no
16641.2-b 2 +1 yes no