Properties

Base field \(\Q(\sqrt{-43}) \)
Level 387.1
Norm 387
New dimension 9

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Base field \(\Q(\sqrt{-43}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 11\); class number \(1\).

Level 387.1

Norm: 387
Ideal: \((-6 a + 3) = \left(3\right) \cdot \left(-2 a + 1\right) \)
Label: 387.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 19
Dimension of new cuspidal subspace: 9

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
387.1-a 2 +1 yes no
387.1-b 2 +1 yes no