Properties

Base field \(\Q(\sqrt{-2}) \)
Level 3969.3
Norm 3969
New dimension 5

Related objects

Downloads

Learn more

Base field \(\Q(\sqrt{-2}) \)

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

Level 3969.3

Norm: 3969
Ideal: \((63) = \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \cdot \left(7\right) \)
Label: 3969.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 31
Dimension of new cuspidal subspace: 5

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
3969.3-a 2 -1 yes (twist) no
3969.3-b 2 -1 yes (twist) no
3969.3-c 2 +1 yes no