Properties

Base field \(\Q(\sqrt{-7}) \)
Level 316.6
Norm 316
New dimension 1

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

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

Level 316.6

Norm: 316
Ideal: \((13 a - 11) = \left(-a + 1\right)^{2} \cdot \left(6 a + 1\right) \)
Label: 316.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
316.6-a 2 -1 no no