Properties

Base field \(\Q(\sqrt{-11}) \)
Level 31680.2
Norm 31680
New dimension 12

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

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

Level 31680.2

Norm: 31680
Ideal: \((16 a + 168) = \left(2\right)^{3} \cdot \left(-a\right)^{2} \cdot \left(a - 2\right) \cdot \left(-2 a + 1\right) \)
Label: 31680.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 199
Dimension of new cuspidal subspace: 12

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
31680.2-a 2 -1 no no
31680.2-b 2 +1 no no
31680.2-c 2 +1 no no
31680.2-d 2 -1 no no
31680.2-e 2 -1 no no
31680.2-f 2 -1 no no
31680.2-g 2 +1 no no
31680.2-h 2 +1 no no
31680.2-i 2 -1 no no
31680.2-j 2 +1 no no