Properties

Base field \(\Q(\sqrt{-31}) \)
Level 100.2
Norm 100
New dimension 5

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

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

Level 100.2

Norm: 100
Ideal: \((20) = \left(2, a\right)^{2} \cdot \left(5, a + 1\right) \cdot \left(5, a + 3\right) \)
Label: 100.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 9
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

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