Properties

Base field \(\Q(\sqrt{-2}) \)
Level 24642.2
Norm 24642
New dimension 7

Related objects

Downloads

Learn more

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

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

Level 24642.2

Norm: 24642
Ideal: \((111 a) = \left(a\right) \cdot \left(-a - 1\right) \cdot \left(a - 1\right) \cdot \left(37\right) \)
Label: 24642.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 53
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
24642.2-a 2 +1 yes no
24642.2-b 2 +1 yes no
24642.2-c 2 +1 yes no
24642.2-d 2 -1 yes no
24642.2-e 2 -1 no no
24642.2-f 2 -1 no no
24642.2-g 2 -1 yes no