Properties

Base field \(\Q(\sqrt{-3}) \)
Level 144193.1
Norm 144193
New dimension 3

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

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

Level 144193.1

Norm: 144193
Ideal: \((136 a + 293) = \left(-a - 2\right) \cdot \left(-3 a + 145\right) \)
Label: 144193.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 5
Dimension of new cuspidal subspace: 3

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
144193.1-a 2 -1 no no
144193.1-b 2 +1 no no
144193.1-c 2 -1 no no