Properties

Base field \(\Q(\sqrt{-599}) \)
Level 27.3
Norm 27
New dimension 50

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Base field \(\Q(\sqrt{-599}) \)

Generator \(a\), with minimal polynomial \(x^2 - x + 150\); class number \(25\).

Level 27.3

Norm: 27
Ideal: \((9) = \left(3, a\right) \cdot \left(3, a + 2\right)^{2} \)
Label: 27.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 78
Dimension of new cuspidal subspace: 50

Newforms

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

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