Properties

Base field \(\Q(\sqrt{-2}) \)
Level 198.6
Norm 198
New dimension 1

Related objects

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

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

Level 198.6

Norm: 198
Ideal: \((7 a - 10) = \left(a\right) \cdot \left(a - 1\right)^{2} \cdot \left(a - 3\right) \)
Label: 198.6

Modular form spaces

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

Newforms

There is one rational cuspidal newform at this level in the database:

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