Properties

Base field \(\Q(\sqrt{-7}) \)
Level 15488.5
Norm 15488
New dimension 6

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Base field \(\Q(\sqrt{-7}) \)

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

Level 15488.5

Norm: 15488
Ideal: \((-22 a + 132) = \left(a\right)^{6} \cdot \left(-a + 1\right) \cdot \left(-2 a + 3\right) \cdot \left(2 a + 1\right) \)
Label: 15488.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 184
Dimension of new cuspidal subspace: 6

Newforms

This space contains the following newforms of dimension 1.

label weight sign base change CM
15488.5-a 2 -1 no no
15488.5-b 2 -1 no no
15488.5-c 2 +1 yes (twist) no
15488.5-d 2 +1 yes (twist) no
15488.5-e 2 -1 no no
15488.5-f 2 -1 yes (twist) no