Properties

Base field \(\Q(\sqrt{-7}) \)
Level 28672.9
Norm 28672
New dimension 18

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

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

Level 28672.9

Norm: 28672
Ideal: \((16 a - 176) = \left(a\right)^{4} \cdot \left(-a + 1\right)^{8} \cdot \left(-2 a + 1\right) \)
Label: 28672.9

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 566
Dimension of new cuspidal subspace: 18

Newforms

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

label weight sign base change CM
28672.9-a 2 -1 no no
28672.9-b 2 +1 no no
28672.9-c 2 -1 no no
28672.9-d 2 +1 no no
28672.9-e 2 +1 no no
28672.9-f 2 -1 no no
28672.9-g 2 -1 no no
28672.9-h 2 -1 no no
28672.9-i 2 -1 no no
28672.9-j 2 +1 no no
28672.9-k 2 -1 no no
28672.9-l 2 +1 no no
28672.9-m 2 +1 no no
28672.9-n 2 +1 no no