Properties

Base field \(\Q(\sqrt{-11}) \)
Level 46656.4
Norm 46656
New dimension 32

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Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \(x^{2} - x + 3\); class number \(1\).

Level 46656.4

Norm: 46656
Ideal: \((216) = \left(2\right)^{3} \cdot \left(-a\right)^{3} \cdot \left(a - 1\right)^{3} \)
Label: 46656.4

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 533
Dimension of new cuspidal subspace: 32

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
46656.4-a 2 +1 yes no
46656.4-b 2 +1 no no
46656.4-c 2 -1 yes (twist) no
46656.4-d 2 -1 no no
46656.4-e 2 +1 yes no
46656.4-f 2 +1 no no
46656.4-g 2 -1 no no
46656.4-h 2 -1 no no
46656.4-i 2 +1 no no
46656.4-j 2 +1 yes no
46656.4-k 2 -1 no no
46656.4-l 2 -1 yes (twist) no
46656.4-m 2 +1 no no
46656.4-n 2 +1 yes no