Properties

Base field \(\Q(\sqrt{-7}) \)
Level 10052.4
Norm 10052
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 10052.4

Norm: 10052
Ideal: \((-16 a - 90) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(-2 a + 1\right) \cdot \left(-14 a + 11\right) \)
Label: 10052.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 9
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
10052.4-a 2 -1 no no