Properties

Base field \(\Q(\sqrt{-7}) \)
Level 18488.5
Norm 18488
New dimension 3

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

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

Level 18488.5

Norm: 18488
Ideal: \((98 a - 90) = \left(a\right) \cdot \left(-a + 1\right)^{2} \cdot \left(-2 a + 49\right) \)
Label: 18488.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
18488.5-a 2 +1 no no
18488.5-b 2 +1 no no
18488.5-c 2 -1 no no