Properties

Base field \(\Q(\sqrt{-3}) \)
Level 171.1
Norm 171
New dimension 1

Related objects

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

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

Level 171.1

Norm: 171
Ideal: \((-15 a + 9) = \left(-2 a + 1\right)^{2} \cdot \left(-5 a + 3\right) \)
Label: 171.1

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
171.1-a 2 1 +1 no no