Properties

Base field \(\Q(\sqrt{-13}) \)
Level 238.3
Norm 238
New dimension 4

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Base field \(\Q(\sqrt{-13}) \)

Generator \(a\), with minimal polynomial \(x^{2} + 13\); class number \(2\).

Level 238.3

Norm: 238
Ideal: \((a - 15) = \left(2, a + 1\right) \cdot \left(7, a + 6\right) \cdot \left(a + 2\right) \)
Label: 238.3

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 4
Dimension of new cuspidal subspace: 4

Newforms

This space contains the following newforms of dimension 1.

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