Properties

Base field \(\Q(\sqrt{-7}) \)
Level 2268.2
Norm 2268
New dimension 2

Related objects

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

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

Level 2268.2

Norm: 2268
Ideal: \((-36 a + 18) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right)^{2} \cdot \left(-2 a + 1\right) \)
Label: 2268.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 47
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
2268.2-a 2 1 -1 yes no
2268.2-b 2 1 +1 yes no