Properties

Base field \(\Q(\sqrt{-2}) \)
Level 16875.1
Norm 16875
New dimension 5

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Base field \(\Q(\sqrt{-2}) \)

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

Level 16875.1

Norm: 16875
Ideal: \((-25 a + 125) = \left(-a - 1\right)^{3} \cdot \left(5\right)^{2} \)
Label: 16875.1

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 27
Dimension of new cuspidal subspace: 5

Newforms

This space contains the following newform of dimension 1. Newforms of higher dimension are not yet in the database.

label weight sign base change CM
16875.1-a 2 +1 no no