Properties

Base field \(\Q(\sqrt{-2}) \)
Level 242.3
Norm 242
New dimension 1

Related objects

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

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

Level 242.3

Norm: 242
Ideal: \((7 a + 12) = \left(a\right) \cdot \left(a - 3\right)^{2} \)
Label: 242.3

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
242.3-a 2 1 +1 no no