Properties

Base field \(\Q(\sqrt{-7}) \)
Level 172.5
Norm 172
New dimension 0

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

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

Level 172.5

Norm: 172
Ideal: \((-3 a - 11) = \left(-a + 1\right)^{2} \cdot \left(-2 a + 7\right) \)
Label: 172.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 2
Dimension of new cuspidal subspace: 0

Newforms

There are no newforms at this level.