Properties

Base field \(\Q(\sqrt{-7}) \)
Level 20449.2
Norm 20449
New dimension 11

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

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

Level 20449.2

Norm: 20449
Ideal: \((143) = \left(-2 a + 3\right) \cdot \left(2 a + 1\right) \cdot \left(13\right) \)
Label: 20449.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 11

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
20449.2-a 2 +1 yes no