Properties

Base field \(\Q(\sqrt{-3}) \)
Level 78400.2
Norm 78400
New dimension 10

Related objects

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

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

Level 78400.2

Norm: 78400
Ideal: \((280) = \left(2\right)^{3} \cdot \left(5\right) \cdot \left(-3 a + 1\right) \cdot \left(3 a - 2\right) \)
Label: 78400.2

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 81
Dimension of new cuspidal subspace: 10

Newforms

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

label weight dimension sign base change CM
78400.2-a 2 1 -1 yes no
78400.2-b 2 1 +1 no no
78400.2-c 2 1 +1 no no
78400.2-d 2 1 -1 yes no
78400.2-e 2 1 +1 no no
78400.2-f 2 1 +1 no no