Properties

Base field \(\Q(\sqrt{-3}) \)
Level 38809.1
Norm 38809
New dimension 16

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Base field \(\Q(\sqrt{-3}) \)

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

Level 38809.1

Norm: 38809
Ideal: \((197) = \left(197\right) \)
Label: 38809.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 16
Dimension of new cuspidal subspace: 16

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
38809.1-a 2 +1 yes no