Properties

Base field \(\Q(\sqrt{-3}) \)
Level 147.2
Norm 147
New dimension 1

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-3}) \)

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

Level 147.2

Norm: 147
Ideal: \((7 a + 7) = \left(a + 1\right) \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \)
Label: 147.2

Modular form spaces

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

Newforms

This space contains the following newform of dimension 1.

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