Properties

Base field \(\Q(\sqrt{-3}) \)
Level 1083.2
Norm 1083
New dimension 3

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Base field \(\Q(\sqrt{-3}) \)

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

Level 1083.2

Norm: 1083
Ideal: \((19 a + 19) = \left(a + 1\right) \cdot \left(-2 a + 5\right) \cdot \left(2 a + 3\right) \)
Label: 1083.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 5
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1083.2-a 2 -1 yes no
1083.2-b 2 +1 yes no
1083.2-c 2 +1 yes no