Properties

Base field \(\Q(\sqrt{-7}) \)
Level 2916.2
Norm 2916
New dimension 12

Related objects

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

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

Level 2916.2

Norm: 2916
Ideal: \((54) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(3\right)^{3} \)
Label: 2916.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 44
Dimension of new cuspidal subspace: 12

Newforms

This space contains the following newforms.

label weight dimension sign base change CM
2916.2-a 2 1 +1 yes no
2916.2-b 2 1 -1 yes (twist) no
2916.2-c 2 1 +1 yes (twist) no
2916.2-d 2 1 -1 no no
2916.2-e 2 1 +1 no no
2916.2-f 2 1 +1 yes (twist) no
2916.2-g 2 1 +1 yes (twist) no
2916.2-h 2 1 -1 yes (twist) no
2916.2-i 2 1 -1 no no
2916.2-j 2 1 +1 no no
2916.2-k 2 1 +1 yes (twist) no
2916.2-l 2 1 +1 yes no