Properties

Base field \(\Q(\sqrt{-3}) \)
Level 50700.2
Norm 50700
New dimension 9

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Base field \(\Q(\sqrt{-3}) \)

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

Level 50700.2

Norm: 50700
Ideal: \((130 a + 130) = \left(2\right) \cdot \left(a + 1\right) \cdot \left(5\right) \cdot \left(a + 3\right) \cdot \left(a - 4\right) \)
Label: 50700.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 83
Dimension of new cuspidal subspace: 9

Newforms

This space contains the following newforms of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
50700.2-a 2 -1 yes no
50700.2-b 2 -1 yes no
50700.2-c 2 -1 yes no
50700.2-d 2 -1 yes no
50700.2-e 2 +1 yes no
50700.2-f 2 +1 yes no
50700.2-g 2 +1 yes no