Properties

Base field \(\Q(\sqrt{-7}) \)
Level 11200.4
Norm 11200
New dimension 6

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-7}) \)

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

Level 11200.4

Norm: 11200
Ideal: \((-80 a + 40) = \left(a\right)^{3} \cdot \left(-a + 1\right)^{3} \cdot \left(5\right) \cdot \left(-2 a + 1\right) \)
Label: 11200.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 197
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
11200.4-a 2 +1 yes no
11200.4-b 2 -1 yes no