Properties

Base field \(\Q(\sqrt{-43}) \)
Level 1012.4
Norm 1012
New dimension 7

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

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

Level 1012.4

Norm: 1012
Ideal: \((-8 a - 14) = \left(2\right) \cdot \left(a - 1\right) \cdot \left(a - 4\right) \)
Label: 1012.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 7
Dimension of new cuspidal subspace: 7

Newforms

This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
1012.4-a 2 +1 no no