Properties

Base field \(\Q(\sqrt{-7}) \)
Level 1052.4
Norm 1052
New dimension 2

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

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

Level 1052.4

Norm: 1052
Ideal: \((4 a + 30) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(2 a + 15\right) \)
Label: 1052.4

Modular form spaces

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

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
1052.4-a 2 -1 no no
1052.4-b 2 +1 no no