Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1012.6
Norm 1012
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 1012.6

Norm: 1012
Ideal: \((-8 a + 34) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \)
Label: 1012.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 8
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1012.6-a 2 -1 no no
1012.6-b 2 +1 no no