Properties

Base field \(\Q(\sqrt{-2}) \)
Level 578.2
Norm 578
New dimension 1

Related objects

Downloads

Learn more

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

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

Level 578.2

Norm: 578
Ideal: \((17 a) = \left(a\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 3\right) \)
Label: 578.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 3
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
578.2-a 2 +1 yes no