Properties

Base field \(\Q(\sqrt{-111}) \)
Level 12.2
Norm 12
New dimension 6

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Base field \(\Q(\sqrt{-111}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 28\); class number \(8\).

Level 12.2

Norm: 12
Ideal: \((6) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(3, a + 1\right) \)
Label: 12.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 54
Dimension of new cuspidal subspace: 6

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
12.2-a 2 -1 yes (twist) no
12.2-b 2 -1 yes (twist) no