Properties

Base field \(\Q(\sqrt{-3}) \)
Level 99372.4
Norm 99372
New dimension 16

Related objects

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

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

Level 99372.4

Norm: 99372
Ideal: \((322 a - 308) = \left(2\right) \cdot \left(-2 a + 1\right) \cdot \left(-3 a + 1\right) \cdot \left(3 a - 2\right) \cdot \left(-4 a + 1\right)^{2} \)
Label: 99372.4

Modular form spaces

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

Newforms

This space contains the following newforms. Newforms of higher dimension are not yet in the database.

label weight dimension sign base change CM
99372.4-a 2 1 +1 no no
99372.4-b 2 1 +1 no no
99372.4-c 2 1 +1 no no
99372.4-d 2 1 +1 no no
99372.4-e 2 1 +1 no no
99372.4-f 2 1 -1 no no
99372.4-g 2 1 -1 yes (twist) no
99372.4-h 2 1 -1 no no
99372.4-i 2 1 -1 no no
99372.4-j 2 1 +1 no no
99372.4-k 2 1 -1 no no
99372.4-l 2 1 -1 no no