Properties

Base field \(\Q(\sqrt{-7}) \)
Level 9216.6
Norm 9216
New dimension 8

Related objects

Downloads

Learn more

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

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

Level 9216.6

Norm: 9216
Ideal: \((96) = \left(a\right)^{5} \cdot \left(-a + 1\right)^{5} \cdot \left(3\right) \)
Label: 9216.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 189
Dimension of new cuspidal subspace: 8

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
9216.6-a 2 +1 yes no
9216.6-b 2 -1 yes (twist) no
9216.6-c 2 -1 yes (twist) no
9216.6-d 2 +1 yes no