Properties

Base field \(\Q(\sqrt{-7}) \)
Level 224.2
Norm 224
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 224.2

Norm: 224
Ideal: \((-10 a + 12) = \left(a\right)^{4} \cdot \left(-a + 1\right) \cdot \left(-2 a + 1\right) \)
Label: 224.2

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

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