Properties

Base field \(\Q(\sqrt{-7}) \)
Level 3112.6
Norm 3112
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 3112.6

Norm: 3112
Ideal: \((34 a - 50) = \left(a\right) \cdot \left(-a + 1\right)^{2} \cdot \left(4 a + 17\right) \)
Label: 3112.6

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
3112.6-a 2 +1 no no
3112.6-b 2 +1 no no