Properties

Base field \(\Q(\sqrt{-7}) \)
Level 5184.4
Norm 5184
New dimension 9

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Base field \(\Q(\sqrt{-7}) \)

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

Level 5184.4

Norm: 5184
Ideal: \((72) = \left(a\right)^{3} \cdot \left(-a + 1\right)^{3} \cdot \left(3\right)^{2} \)
Label: 5184.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 41
Dimension of new cuspidal subspace: 9

Newforms

This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
5184.4-a 2 -1 yes no