Properties

Base field \(\Q(\sqrt{-7}) \)
Level 2809.2
Norm 2809
New dimension 4

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

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

Level 2809.2

Norm: 2809
Ideal: \((53) = \left(-4 a - 3\right) \cdot \left(4 a - 7\right) \)
Label: 2809.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 4

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
2809.2-a 2 -1 yes no