Properties

Base field \(\Q(\sqrt{-1}) \)
Level 50005.5
Norm 50005
New dimension 1

Related objects

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

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

Level 50005.5

Norm: 50005
Ideal: \((54 i + 217) = \left(2 i + 1\right) \cdot \left(-3 i - 8\right) \cdot \left(-4 i - 11\right) \)
Label: 50005.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform.

label weight dimension sign base change CM
50005.5-a 2 1 +1 no no