Properties

Base field \(\Q(\sqrt{-3}) \)
Level 28224.3
Norm 28224
New dimension 8

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

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

Level 28224.3

Norm: 28224
Ideal: \((-120 a + 192) = \left(2\right)^{3} \cdot \left(a + 1\right)^{2} \cdot \left(a - 3\right)^{2} \)
Label: 28224.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 53
Dimension of new cuspidal subspace: 8

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
28224.3-a 2 -1 no no
28224.3-b 2 -1 no no
28224.3-c 2 -1 yes (twist) no
28224.3-d 2 +1 no no
28224.3-e 2 +1 no no
28224.3-f 2 -1 no no
28224.3-g 2 +1 no no
28224.3-h 2 +1 no no