Properties

Base field \(\Q(\sqrt{-3}) \)
Level 50176.2
Norm 50176
New dimension 24

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

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

Level 50176.2

Norm: 50176
Ideal: \((224) = \left(2\right)^{5} \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \)
Label: 50176.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 73
Dimension of new cuspidal subspace: 24

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
50176.2-a 2 +1 yes no
50176.2-b 2 -1 no no
50176.2-c 2 -1 no no
50176.2-d 2 -1 no no
50176.2-e 2 -1 no no
50176.2-f 2 -1 yes (twist) no
50176.2-g 2 -1 yes (twist) no
50176.2-h 2 -1 no no
50176.2-i 2 -1 no no
50176.2-j 2 +1 no no
50176.2-k 2 +1 no no
50176.2-l 2 +1 yes no