Properties

Base field \(\Q(\sqrt{-1}) \)
Level 50170.3
Norm 50170
New dimension 5

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Base field \(\Q(\sqrt{-1}) \)

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

Level 50170.3

Norm: 50170
Ideal: \((-21 i + 223) = \left(i + 1\right) \cdot \left(-i - 2\right) \cdot \left(2 i + 5\right) \cdot \left(-2 i + 13\right) \)
Label: 50170.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 13
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
50170.3-a 2 -1 no no
50170.3-b 2 -1 no no
50170.3-c 2 +1 no no
50170.3-d 2 -1 no no
50170.3-e 2 -1 no no