Properties

Base field \(\Q(\sqrt{-55}) \)
Level 396.2
Norm 396
New dimension 14

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Base field \(\Q(\sqrt{-55}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 14\); class number \(4\).

Level 396.2

Norm: 396
Ideal: \((66) = \left(2, a\right) \cdot \left(2, a + 1\right) \cdot \left(3\right) \cdot \left(11, a + 5\right) \)
Label: 396.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 182
Dimension of new cuspidal subspace: 14

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
396.2-a 2 -1 yes no
396.2-b 2 +1 yes no
396.2-c 2 +1 yes no
396.2-d 2 -1 yes no
396.2-e 2 +1 yes no
396.2-f 2 +1 yes no