Properties

Base field \(\Q(\sqrt{-163}) \)
Level 652.1
Norm 652
New dimension 14

Related objects

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

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

Level 652.1

Norm: 652
Ideal: \((-4 a + 2) = \left(2\right) \cdot \left(-2 a + 1\right) \)
Label: 652.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 40
Dimension of new cuspidal subspace: 14

Newforms

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

label weight dimension sign base change CM
652.1-a 2 1 +1 yes no
652.1-b 2 1 -1 yes no
652.1-c 2 1 -1 yes no