Properties

Base field \(\Q(\sqrt{-11}) \)
Level 31684.2
Norm 31684
New dimension 11

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 31684.2

Norm: 31684
Ideal: \((178) = \left(2\right) \cdot \left(5 a + 2\right) \cdot \left(5 a - 7\right) \)
Label: 31684.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 33
Dimension of new cuspidal subspace: 11

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
31684.2-a 2 +1 no no
31684.2-b 2 +1 no no
31684.2-c 2 +1 yes no
31684.2-d 2 +1 yes no