Properties

Base field \(\Q(\sqrt{-7}) \)
Level 39204.9
Norm 39204
New dimension 5

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

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

Level 39204.9

Norm: 39204
Ideal: \((-81 a + 207) = \left(-a + 1\right)^{2} \cdot \left(3\right)^{2} \cdot \left(2 a + 1\right)^{2} \)
Label: 39204.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 44
Dimension of new cuspidal subspace: 5

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
39204.9-a 2 +1 no no
39204.9-b 2 -1 no $-3$
39204.9-c 2 +1 no no