Properties

Base field \(\Q(\sqrt{-7}) \)
Level 224.5
Norm 224
New dimension 1

Related objects

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

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

Level 224.5

Norm: 224
Ideal: \((10 a + 2) = \left(a\right) \cdot \left(-a + 1\right)^{4} \cdot \left(-2 a + 1\right) \)
Label: 224.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 5
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform.

label weight dimension sign base change CM
224.5-a 2 1 +1 no no