Properties

Base field \(\Q(\sqrt{-11}) \)
Level 1584.2
Norm 1584
New dimension 2

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

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

Level 1584.2

Norm: 1584
Ideal: \((-24 a + 12) = \left(2\right)^{2} \cdot \left(-a\right) \cdot \left(a - 1\right) \cdot \left(-2 a + 1\right) \)
Label: 1584.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 31
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1584.2-a 2 -1 yes no
1584.2-b 2 +1 yes no