Properties

Base field \(\Q(\sqrt{-13}) \)
Level 117.1
Norm 117
New dimension 6

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Base field \(\Q(\sqrt{-13}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).

Level 117.1

Norm: 117
Ideal: \((3 a) = \left(3\right) \cdot \left(a\right) \)
Label: 117.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 6
Dimension of new cuspidal subspace: 6

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
117.1-a 2 -1 yes no
117.1-b 2 -1 yes no