Properties

Base field \(\Q(\sqrt{-7}) \)
Level 19044.5
Norm 19044
New dimension 13

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

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

Level 19044.5

Norm: 19044
Ideal: \((138) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right) \cdot \left(-2 a + 5\right) \cdot \left(2 a + 3\right) \)
Label: 19044.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 99
Dimension of new cuspidal subspace: 13

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
19044.5-a 2 +1 yes no
19044.5-b 2 +1 yes no
19044.5-c 2 +1 yes no