Properties

Base field \(\Q(\sqrt{-3}) \)
Level 85692.3
Norm 85692
New dimension 3

Related objects

Downloads

Learn more

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

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

Level 85692.3

Norm: 85692
Ideal: \((-122 a - 212) = \left(2\right) \cdot \left(a + 1\right) \cdot \left(3 a + 4\right) \cdot \left(7 a + 9\right) \)
Label: 85692.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 17
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
85692.3-a 2 +1 no no
85692.3-b 2 +1 no no
85692.3-c 2 +1 no no