Properties

Base field \(\Q(\sqrt{-1}) \)
Level 2000.2
Norm 2000
New dimension 2

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Base field \(\Q(\sqrt{-1}) \)

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

Level 2000.2

Norm: 2000
Ideal: \((-20 i - 40) = \left(i + 1\right)^{4} \cdot \left(-i - 2\right)^{2} \cdot \left(2 i + 1\right) \)
Label: 2000.2

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
2000.2-a 2 +1 yes (twist) no
2000.2-b 2 +1 yes (twist) no