Properties

Base field \(\Q(\sqrt{-7}) \)
Level 26244.2
Norm 26244
New dimension 28

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

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

Level 26244.2

Norm: 26244
Ideal: \((162) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right)^{4} \)
Label: 26244.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 178
Dimension of new cuspidal subspace: 28

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
26244.2-a 2 -1 yes no
26244.2-b 2 -1 yes no
26244.2-c 2 +1 no no
26244.2-d 2 -1 no no
26244.2-e 2 -1 no no
26244.2-f 2 +1 no no
26244.2-g 2 +1 no no
26244.2-h 2 -1 no no
26244.2-i 2 -1 no no
26244.2-j 2 +1 no no
26244.2-k 2 -1 yes no
26244.2-l 2 -1 yes no