Properties

Base field \(\Q(\sqrt{-2}) \)
Level 9801.8
Norm 9801
New dimension 12

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Base field \(\Q(\sqrt{-2}) \)

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

Level 9801.8

Norm: 9801
Ideal: \((99) = \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(a + 3\right) \cdot \left(a - 3\right) \)
Label: 9801.8

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 117
Dimension of new cuspidal subspace: 12

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
9801.8-a 2 -1 yes no
9801.8-b 2 -1 yes no
9801.8-c 2 -1 yes no
9801.8-d 2 +1 no no
9801.8-e 2 -1 yes no
9801.8-f 2 +1 no no
9801.8-g 2 -1 no no
9801.8-h 2 -1 no no