Properties

Base field \(\Q(\sqrt{-3}) \)
Level 99372.6
Norm 99372
New dimension 16

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

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

Level 99372.6

Norm: 99372
Ideal: \((14 a + 308) = \left(2\right) \cdot \left(a + 1\right) \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \cdot \left(a - 4\right)^{2} \)
Label: 99372.6

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 105
Dimension of new cuspidal subspace: 16

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
99372.6-a 2 +1 no no
99372.6-b 2 +1 no no
99372.6-c 2 +1 no no
99372.6-d 2 +1 no no
99372.6-e 2 +1 no no
99372.6-f 2 -1 no no
99372.6-g 2 +1 no no
99372.6-h 2 -1 yes (twist) no
99372.6-i 2 -1 no no
99372.6-j 2 -1 no no
99372.6-k 2 -1 no no
99372.6-l 2 -1 no no