Properties

Base field \(\Q(\sqrt{-7}) \)
Level 6724.2
Norm 6724
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 6724.2

Norm: 6724
Ideal: \((82) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(41\right) \)
Label: 6724.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 17
Dimension of new cuspidal subspace: 5

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
6724.2-a 2 +1 yes no