Properties

Base field \(\Q(\sqrt{-163}) \)
Level 163.1
Norm 163
New dimension 13

Related objects

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

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

Level 163.1

Norm: 163
Ideal: \((-2 a + 1) = \left(-2 a + 1\right) \)
Label: 163.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 13

Newforms

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

label weight dimension sign base change CM
163.1-a 2 1 -1 yes no