Properties

Base field \(\Q(\sqrt{-2}) \)
Level 20736.3
Norm 20736
New dimension 28

Related objects

Learn more

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

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

Level 20736.3

Norm: 20736
Ideal: \((144) = \left(a\right)^{8} \cdot \left(-a - 1\right)^{2} \cdot \left(a - 1\right)^{2} \)
Label: 20736.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 623
Dimension of new cuspidal subspace: 28

Newforms

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

label weight dimension sign base change CM
20736.3-a 2 1 -1 no no
20736.3-b 2 1 +1 yes no
20736.3-c 2 1 +1 yes no
20736.3-d 2 1 +1 yes no
20736.3-e 2 1 -1 yes no
20736.3-f 2 1 +1 no no
20736.3-g 2 1 +1 no no
20736.3-h 2 1 -1 yes no
20736.3-i 2 1 +1 no no
20736.3-j 2 1 -1 no -4
20736.3-k 2 1 -1 yes (twist) no
20736.3-l 2 1 -1 yes (twist) no
20736.3-m 2 1 +1 yes (twist) -3
20736.3-n 2 1 +1 yes (twist) -3
20736.3-o 2 1 +1 yes (twist) no
20736.3-p 2 1 +1 yes (twist) no
20736.3-q 2 1 -1 no -4
20736.3-r 2 1 -1 no no
20736.3-s 2 1 -1 no no
20736.3-t 2 1 -1 no no
20736.3-u 2 1 +1 yes no
20736.3-v 2 1 -1 yes no
20736.3-w 2 1 -1 yes no
20736.3-x 2 1 -1 yes no
20736.3-y 2 1 +1 yes no
20736.3-z 2 1 +1 no no