Properties

Base field \(\Q(\sqrt{-3}) \)
Level 99372.5
Norm 99372
New dimension 23

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

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

Level 99372.5

Norm: 99372
Ideal: \((182 a + 182) = \left(2\right) \cdot \left(a + 1\right) \cdot \left(-a - 2\right) \cdot \left(a - 3\right) \cdot \left(a + 3\right) \cdot \left(a - 4\right) \)
Label: 99372.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 259
Dimension of new cuspidal subspace: 23

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
99372.5-a 2 +1 yes no
99372.5-b 2 +1 yes no
99372.5-c 2 -1 no no
99372.5-d 2 -1 no no
99372.5-e 2 -1 no no
99372.5-f 2 -1 no no
99372.5-g 2 -1 yes no
99372.5-h 2 -1 yes no
99372.5-i 2 -1 yes no
99372.5-j 2 -1 yes no
99372.5-k 2 -1 yes no