Properties

Base field \(\Q(\sqrt{-31}) \)
Level 100.4
Norm 100
New dimension 2

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Base field \(\Q(\sqrt{-31}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 8\); class number \(3\).

Level 100.4

Norm: 100
Ideal: \((50) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(5, a + 1\right)^{2} \)
Label: 100.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 12
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

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