Properties

Base field \(\Q(\sqrt{-7}) \)
Level 4032.4
Norm 4032
New dimension 2

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

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

Level 4032.4

Norm: 4032
Ideal: \((-48 a + 24) = \left(a\right)^{3} \cdot \left(-a + 1\right)^{3} \cdot \left(3\right) \cdot \left(-2 a + 1\right) \)
Label: 4032.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 95
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
4032.4-a 2 +1 yes no
4032.4-b 2 -1 yes no