Properties

Base field \(\Q(\sqrt{-23}) \)
Level 78.8
Norm 78
New dimension 2

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-23}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 6\); class number \(3\).

Level 78.8

Norm: 78
Ideal: \((78) = \left(2, a + 1\right) \cdot \left(3, a + 2\right) \cdot \left(13, a + 8\right) \)
Label: 78.8

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 2

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
78.8-a 2 -1 no no
78.8-b 2 -1 no no