Properties

Base field \(\Q(\sqrt{-7}) \)
Level 5324.7
Norm 5324
New dimension 5

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

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

Level 5324.7

Norm: 5324
Ideal: \((44 a + 22) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 1\right)^{2} \)
Label: 5324.7

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 40
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
5324.7-a 2 -1 no no
5324.7-b 2 -1 no no
5324.7-c 2 -1 yes (twist) no
5324.7-d 2 +1 yes (twist) no
5324.7-e 2 +1 yes (twist) no