Properties

Base field \(\Q(\sqrt{-15}) \)
Level 144.3
Norm 144
New dimension 1

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Base field \(\Q(\sqrt{-15}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 4\); class number \(2\).

Level 144.3

Norm: 144
Ideal: \((12) = \left(2, a\right)^{2} \cdot \left(2, a + 1\right)^{2} \cdot \left(3, a + 1\right)^{2} \)
Label: 144.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 9
Dimension of new cuspidal subspace: 1

Newforms

This space contains the following newform of dimension 1.

label weight sign base change CM
144.3-a 2 +1 yes $-3$