Properties

Base field \(\Q(\sqrt{-163}) \)
Level 593.1
Norm 593
New dimension 1

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

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

Level 593.1

Norm: 593
Ideal: \((a + 23) = \left(a + 23\right) \)
Label: 593.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 1
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

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