Properties

Base field \(\Q(\sqrt{-2}) \)
Level 23328.4
Norm 23328
New dimension 32

Related objects

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

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

Level 23328.4

Norm: 23328
Ideal: \((108 a) = \left(a\right)^{5} \cdot \left(-a - 1\right)^{3} \cdot \left(a - 1\right)^{3} \)
Label: 23328.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 497
Dimension of new cuspidal subspace: 32

Newforms

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

label weight dimension sign base change CM
23328.4-a 2 1 -1 yes no
23328.4-b 2 1 +1 yes no
23328.4-c 2 1 +1 yes (twist) no
23328.4-d 2 1 -1 yes (twist) no
23328.4-e 2 1 +1 yes no
23328.4-f 2 1 -1 yes no
23328.4-g 2 1 -1 yes (twist) no
23328.4-h 2 1 +1 yes (twist) no
23328.4-i 2 1 +1 yes no
23328.4-j 2 1 +1 yes no
23328.4-k 2 1 -1 yes no
23328.4-l 2 1 -1 yes no
23328.4-m 2 1 -1 yes (twist) no
23328.4-n 2 1 +1 yes (twist) no
23328.4-o 2 1 +1 yes no
23328.4-p 2 1 -1 yes no
23328.4-q 2 1 +1 yes (twist) no
23328.4-r 2 1 -1 yes (twist) no
23328.4-s 2 1 -1 yes no
23328.4-t 2 1 +1 yes no