Properties

Base field \(\Q(\sqrt{-3}) \)
Level 87808.2
Norm 87808
New dimension 26

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Base field \(\Q(\sqrt{-3}) \)

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

Level 87808.2

Norm: 87808
Ideal: \((-112 a - 224) = \left(2\right)^{4} \cdot \left(-a - 2\right)^{2} \cdot \left(a - 3\right) \)
Label: 87808.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 101
Dimension of new cuspidal subspace: 26

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
87808.2-a 2 -1 yes (twist) no
87808.2-b 2 +1 no no
87808.2-c 2 -1 no no
87808.2-d 2 +1 no no
87808.2-e 2 -1 yes (twist) no
87808.2-f 2 -1 no no
87808.2-g 2 +1 yes (twist) no
87808.2-h 2 +1 yes (twist) no
87808.2-i 2 -1 yes (twist) no
87808.2-j 2 -1 yes (twist) no
87808.2-k 2 -1 yes (twist) no
87808.2-l 2 +1 no no
87808.2-m 2 +1 no no
87808.2-n 2 -1 no no
87808.2-o 2 +1 yes (twist) no
87808.2-p 2 -1 no no
87808.2-q 2 +1 no no
87808.2-r 2 +1 yes (twist) no
87808.2-s 2 -1 no no
87808.2-t 2 +1 no no