Properties

Base field \(\Q(\sqrt{-7}) \)
Level 242.1
Norm 242
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 242.1

Norm: 242
Ideal: \((7 a - 16) = \left(a\right) \cdot \left(-2 a + 3\right)^{2} \)
Label: 242.1

Modular form spaces

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

Newforms

This space contains the following newform.

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