Properties

Base field \(\Q(\sqrt{-163}) \)
Level 1024.1
Norm 1024
New dimension 81

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Base field \(\Q(\sqrt{-163}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 41\); class number \(1\).

Level 1024.1

Norm: 1024
Ideal: \((32) = \left(2\right)^{5} \)
Label: 1024.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 237
Dimension of new cuspidal subspace: 81

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
1024.1-a 2 +1 yes $-4$