Properties

Base field \(\Q(\sqrt{-7}) \)
Level 316.5
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 316.5

Norm: 316
Ideal: \((5 a - 19) = \left(-a + 1\right)^{2} \cdot \left(-6 a + 7\right) \)
Label: 316.5

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

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