Properties

Base field \(\Q(\sqrt{-7}) \)
Level 20164.5
Norm 20164
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 20164.5

Norm: 20164
Ideal: \((142) = \left(a\right) \cdot \left(-a + 1\right) \cdot \left(-2 a + 9\right) \cdot \left(2 a + 7\right) \)
Label: 20164.5

Modular form spaces

Weight 2
Dimension of cuspidal subspace: 35
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
20164.5-a 2 -1 yes no
20164.5-b 2 -1 yes no
20164.5-c 2 -1 yes no
20164.5-d 2 -1 yes no
20164.5-e 2 -1 yes no