Properties

Base field \(\Q(\sqrt{-11}) \)
Level 43200.7
Norm 43200
New dimension 32

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

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

Level 43200.7

Norm: 43200
Ideal: \((-48 a - 168) = \left(2\right)^{3} \cdot \left(-a\right) \cdot \left(a - 1\right)^{2} \cdot \left(-a - 1\right)^{2} \)
Label: 43200.7

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 505
Dimension of new cuspidal subspace: 32

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
43200.7-a 2 -1 no no
43200.7-b 2 -1 no no
43200.7-ba 2 -1 no no
43200.7-bb 2 +1 no no
43200.7-c 2 +1 no no
43200.7-d 2 +1 no no
43200.7-e 2 +1 no no
43200.7-f 2 -1 no no
43200.7-g 2 -1 no no
43200.7-h 2 -1 no no
43200.7-i 2 +1 no no
43200.7-j 2 +1 no no
43200.7-k 2 -1 no no
43200.7-l 2 +1 no no
43200.7-m 2 +1 no no
43200.7-n 2 +1 no no
43200.7-o 2 -1 no no
43200.7-p 2 -1 no no
43200.7-q 2 +1 no no
43200.7-r 2 -1 no no
43200.7-s 2 +1 no no
43200.7-t 2 +1 no no
43200.7-u 2 -1 no no
43200.7-v 2 -1 no no
43200.7-w 2 +1 no no
43200.7-x 2 +1 no no
43200.7-y 2 -1 no no
43200.7-z 2 -1 no no