Properties

Base field \(\Q(\sqrt{-1}) \)
Level 72200.2
Norm 72200
New dimension 18

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

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

Level 72200.2

Norm: 72200
Ideal: \((190 i + 190) = \left(i + 1\right)^{3} \cdot \left(-i - 2\right) \cdot \left(2 i + 1\right) \cdot \left(19\right) \)
Label: 72200.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 199
Dimension of new cuspidal subspace: 18

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
72200.2-a 2 +1 yes no
72200.2-b 2 -1 yes no
72200.2-c 2 -1 yes no
72200.2-d 2 -1 yes no
72200.2-e 2 -1 yes no