Properties

Base field \(\Q(\sqrt{-7}) \)
Level 10000.1
Norm 10000
New dimension 4

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Level 10000.1

Norm: 10000
Ideal: \((-75 a + 50) = \left(a\right)^{4} \cdot \left(5\right)^{2} \)
Label: 10000.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 18
Dimension of new cuspidal subspace: 4

Newforms

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

label weight dimension sign base change CM
10000.1-a 2 1 +1 yes (twist) no
10000.1-b 2 1 +1 yes (twist) -35