Properties

Base field \(\Q(\sqrt{-141}) \)
Level 100.2
Norm 100
New dimension 4

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Base field \(\Q(\sqrt{-141}) \)

Generator \(a\), with minimal polynomial \(x^2 + 141\); class number \(8\).

Level 100.2

Norm: 100
Ideal: \((10) = \left(2, a + 1\right)^{2} \cdot \left(5, a + 2\right) \cdot \left(5, a + 3\right) \)
Label: 100.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 60
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

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