Properties

Base field \(\Q(\sqrt{-11}) \)
Level 43200.9
Norm 43200
New dimension 36

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 3\); class number \(1\).

Level 43200.9

Norm: 43200
Ideal: \((24 a + 192) = \left(2\right)^{3} \cdot \left(-a\right) \cdot \left(a - 1\right)^{2} \cdot \left(a - 2\right)^{2} \)
Label: 43200.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 545
Dimension of new cuspidal subspace: 36

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
43200.9-a 2 -1 no no
43200.9-b 2 +1 no no
43200.9-ba 2 +1 no no
43200.9-bb 2 +1 no no
43200.9-c 2 +1 no no
43200.9-d 2 +1 no no
43200.9-e 2 -1 no no
43200.9-f 2 -1 no no
43200.9-g 2 +1 no no
43200.9-h 2 -1 no no
43200.9-i 2 -1 no no
43200.9-j 2 +1 no no
43200.9-k 2 -1 no no
43200.9-l 2 -1 no no
43200.9-m 2 -1 no no
43200.9-n 2 +1 no no
43200.9-o 2 +1 no no
43200.9-p 2 -1 no no
43200.9-q 2 +1 no no
43200.9-r 2 +1 no no
43200.9-s 2 -1 no no
43200.9-t 2 -1 no no
43200.9-u 2 -1 no no
43200.9-v 2 +1 no no
43200.9-w 2 -1 no no
43200.9-x 2 -1 no no
43200.9-y 2 -1 no no
43200.9-z 2 -1 no no