Properties

Base field \(\Q(\sqrt{-7}) \)
Level 10082.4
Norm 10082
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 10082.4

Norm: 10082
Ideal: \((73 a - 9) = \left(-a + 1\right) \cdot \left(-2 a + 9\right)^{2} \)
Label: 10082.4

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
10082.4-a 2 -1 no no