Properties

Base field \(\Q(\sqrt{-7}) \)
Level 19600.5
Norm 19600
New dimension 11

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

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

Level 19600.5

Norm: 19600
Ideal: \((105 a - 35) = \left(-a + 1\right)^{4} \cdot \left(5\right) \cdot \left(-2 a + 1\right)^{2} \)
Label: 19600.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 104
Dimension of new cuspidal subspace: 11

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
19600.5-a 2 +1 no no
19600.5-b 2 -1 no no
19600.5-c 2 -1 yes (twist) no
19600.5-d 2 -1 no no
19600.5-e 2 +1 no no