Properties

Base field \(\Q(\sqrt{-3}) \)
Level 129600.1
Norm 129600
New dimension 12

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Base field \(\Q(\sqrt{-3}) \)

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

Level 129600.1

Norm: 129600
Ideal: \((360) = \left(2\right)^{3} \cdot \left(a + 1\right)^{4} \cdot \left(5\right) \)
Label: 129600.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 165
Dimension of new cuspidal subspace: 12

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
129600.1-a 2 -1 yes no
129600.1-b 2 -1 no no
129600.1-c 2 -1 yes no
129600.1-d 2 -1 no no
129600.1-e 2 +1 yes no
129600.1-f 2 -1 yes no
129600.1-g 2 -1 no no
129600.1-h 2 -1 yes no
129600.1-i 2 +1 yes no
129600.1-j 2 -1 no no